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Finding the Fourth Proportional to 916.12, 1,264.12 and 562.22

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Solution

The fourth proportional to 916.12, 1,264.12 and 562.22 is: 775.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.12 : 1,264.12 = 562.22 : x
  2. Step 2: Convert to fraction form
    916.12/1,264.12 = 562.22/x
  3. Step 3: Cross multiply
    916.12x = 1,264.12 × 562.22
  4. Step 4: Simplify right side
    916.12x = 710,713.55
  5. Step 5: Solve for x
    x = 710,713.55/916.12
  6. Step 6: Final answer
    x = 775.79

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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.