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Finding the Fourth Proportional to 907.61, 1,252.57 and 514.66

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Solution

The fourth proportional to 907.61, 1,252.57 and 514.66 is: 710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.61 : 1,252.57 = 514.66 : x
  2. Step 2: Convert to fraction form
    907.61/1,252.57 = 514.66/x
  3. Step 3: Cross multiply
    907.61x = 1,252.57 × 514.66
  4. Step 4: Simplify right side
    907.61x = 644,645.83
  5. Step 5: Solve for x
    x = 644,645.83/907.61
  6. Step 6: Final answer
    x = 710.27

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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.