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Finding the Fourth Proportional to 916.16, 1,264.35 and 566.78

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Solution

The fourth proportional to 916.16, 1,264.35 and 566.78 is: 782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.16 : 1,264.35 = 566.78 : x
  2. Step 2: Convert to fraction form
    916.16/1,264.35 = 566.78/x
  3. Step 3: Cross multiply
    916.16x = 1,264.35 × 566.78
  4. Step 4: Simplify right side
    916.16x = 716,608.29
  5. Step 5: Solve for x
    x = 716,608.29/916.16
  6. Step 6: Final answer
    x = 782.19

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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.