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Finding the Fourth Proportional to 907.44, 1,252.68 and 597.12

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Solution

The fourth proportional to 907.44, 1,252.68 and 597.12 is: 824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.44 : 1,252.68 = 597.12 : x
  2. Step 2: Convert to fraction form
    907.44/1,252.68 = 597.12/x
  3. Step 3: Cross multiply
    907.44x = 1,252.68 × 597.12
  4. Step 4: Simplify right side
    907.44x = 748,000.28
  5. Step 5: Solve for x
    x = 748,000.28/907.44
  6. Step 6: Final answer
    x = 824.30

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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.