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Finding the Fourth Proportional to 899.92, 1,242.08 and 527.10

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Solution

The fourth proportional to 899.92, 1,242.08 and 527.10 is: 727.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.92 : 1,242.08 = 527.10 : x
  2. Step 2: Convert to fraction form
    899.92/1,242.08 = 527.10/x
  3. Step 3: Cross multiply
    899.92x = 1,242.08 × 527.10
  4. Step 4: Simplify right side
    899.92x = 654,700.37
  5. Step 5: Solve for x
    x = 654,700.37/899.92
  6. Step 6: Final answer
    x = 727.51

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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.