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Finding the Fourth Proportional to 916.36, 1,264.02 and 562.12

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Solution

The fourth proportional to 916.36, 1,264.02 and 562.12 is: 775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.36 : 1,264.02 = 562.12 : x
  2. Step 2: Convert to fraction form
    916.36/1,264.02 = 562.12/x
  3. Step 3: Cross multiply
    916.36x = 1,264.02 × 562.12
  4. Step 4: Simplify right side
    916.36x = 710,530.92
  5. Step 5: Solve for x
    x = 710,530.92/916.36
  6. Step 6: Final answer
    x = 775.38

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.