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Finding the Fourth Proportional to 915.71, 1,264.07 and 601.16

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Solution

The fourth proportional to 915.71, 1,264.07 and 601.16 is: 829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.71 : 1,264.07 = 601.16 : x
  2. Step 2: Convert to fraction form
    915.71/1,264.07 = 601.16/x
  3. Step 3: Cross multiply
    915.71x = 1,264.07 × 601.16
  4. Step 4: Simplify right side
    915.71x = 759,903.50
  5. Step 5: Solve for x
    x = 759,903.50/915.71
  6. Step 6: Final answer
    x = 829.86

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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.