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Finding the Fourth Proportional to 749, 1,119.17 and 572.32

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Solution

The fourth proportional to 749, 1,119.17 and 572.32 is: 855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    749 : 1,119.17 = 572.32 : x
  2. Step 2: Convert to fraction form
    749/1,119.17 = 572.32/x
  3. Step 3: Cross multiply
    749x = 1,119.17 × 572.32
  4. Step 4: Simplify right side
    749x = 640,520.51
  5. Step 5: Solve for x
    x = 640,520.51/749
  6. Step 6: Final answer
    x = 855.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.