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Finding the Fourth Proportional to 916.42, 1,264.65 and 496.77

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Solution

The fourth proportional to 916.42, 1,264.65 and 496.77 is: 685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.42 : 1,264.65 = 496.77 : x
  2. Step 2: Convert to fraction form
    916.42/1,264.65 = 496.77/x
  3. Step 3: Cross multiply
    916.42x = 1,264.65 × 496.77
  4. Step 4: Simplify right side
    916.42x = 628,236.84
  5. Step 5: Solve for x
    x = 628,236.84/916.42
  6. Step 6: Final answer
    x = 685.53

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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.