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Finding the Fourth Proportional to 907.71, 1,253.17 and 576.42

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Solution

The fourth proportional to 907.71, 1,253.17 and 576.42 is: 795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.71 : 1,253.17 = 576.42 : x
  2. Step 2: Convert to fraction form
    907.71/1,253.17 = 576.42/x
  3. Step 3: Cross multiply
    907.71x = 1,253.17 × 576.42
  4. Step 4: Simplify right side
    907.71x = 722,352.25
  5. Step 5: Solve for x
    x = 722,352.25/907.71
  6. Step 6: Final answer
    x = 795.80

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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.