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Finding the Fourth Proportional to 916.02, 1,264.13 and 517.65

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Solution

The fourth proportional to 916.02, 1,264.13 and 517.65 is: 714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.02 : 1,264.13 = 517.65 : x
  2. Step 2: Convert to fraction form
    916.02/1,264.13 = 517.65/x
  3. Step 3: Cross multiply
    916.02x = 1,264.13 × 517.65
  4. Step 4: Simplify right side
    916.02x = 654,367.99
  5. Step 5: Solve for x
    x = 654,367.99/916.02
  6. Step 6: Final answer
    x = 714.36

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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.