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Finding the Fourth Proportional to 907.64, 1,252.47 and 514.70

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Solution

The fourth proportional to 907.64, 1,252.47 and 514.70 is: 710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.64 : 1,252.47 = 514.70 : x
  2. Step 2: Convert to fraction form
    907.64/1,252.47 = 514.70/x
  3. Step 3: Cross multiply
    907.64x = 1,252.47 × 514.70
  4. Step 4: Simplify right side
    907.64x = 644,646.31
  5. Step 5: Solve for x
    x = 644,646.31/907.64
  6. Step 6: Final answer
    x = 710.24

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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.