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Finding the Fourth Proportional to 907.32, 1,252.20 and 558.12

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Solution

The fourth proportional to 907.32, 1,252.20 and 558.12 is: 770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.32 : 1,252.20 = 558.12 : x
  2. Step 2: Convert to fraction form
    907.32/1,252.20 = 558.12/x
  3. Step 3: Cross multiply
    907.32x = 1,252.20 × 558.12
  4. Step 4: Simplify right side
    907.32x = 698,877.86
  5. Step 5: Solve for x
    x = 698,877.86/907.32
  6. Step 6: Final answer
    x = 770.27

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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.