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Finding the Fourth Proportional to 876.64, 1,209.98 and 527.56

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Solution

The fourth proportional to 876.64, 1,209.98 and 527.56 is: 728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.64 : 1,209.98 = 527.56 : x
  2. Step 2: Convert to fraction form
    876.64/1,209.98 = 527.56/x
  3. Step 3: Cross multiply
    876.64x = 1,209.98 × 527.56
  4. Step 4: Simplify right side
    876.64x = 638,337.05
  5. Step 5: Solve for x
    x = 638,337.05/876.64
  6. Step 6: Final answer
    x = 728.16

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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.