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Finding the Fourth Proportional to 915.69, 1,264.14 and 566.58

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Solution

The fourth proportional to 915.69, 1,264.14 and 566.58 is: 782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.69 : 1,264.14 = 566.58 : x
  2. Step 2: Convert to fraction form
    915.69/1,264.14 = 566.58/x
  3. Step 3: Cross multiply
    915.69x = 1,264.14 × 566.58
  4. Step 4: Simplify right side
    915.69x = 716,236.44
  5. Step 5: Solve for x
    x = 716,236.44/915.69
  6. Step 6: Final answer
    x = 782.18

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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.