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Finding the Fourth Proportional to 907.52, 1,252.08 and 509.12

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Solution

The fourth proportional to 907.52, 1,252.08 and 509.12 is: 702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.52 : 1,252.08 = 509.12 : x
  2. Step 2: Convert to fraction form
    907.52/1,252.08 = 509.12/x
  3. Step 3: Cross multiply
    907.52x = 1,252.08 × 509.12
  4. Step 4: Simplify right side
    907.52x = 637,458.97
  5. Step 5: Solve for x
    x = 637,458.97/907.52
  6. Step 6: Final answer
    x = 702.42

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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.