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Finding the Fourth Proportional to 898.92, 1,240.70 and 526.10

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Solution

The fourth proportional to 898.92, 1,240.70 and 526.10 is: 726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.92 : 1,240.70 = 526.10 : x
  2. Step 2: Convert to fraction form
    898.92/1,240.70 = 526.10/x
  3. Step 3: Cross multiply
    898.92x = 1,240.70 × 526.10
  4. Step 4: Simplify right side
    898.92x = 652,723.44
  5. Step 5: Solve for x
    x = 652,723.44/898.92
  6. Step 6: Final answer
    x = 726.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.