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Finding the Fourth Proportional to 898.96, 1,240.20 and 837.20

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Solution

The fourth proportional to 898.96, 1,240.20 and 837.20 is: 1,155.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.96 : 1,240.20 = 837.20 : x
  2. Step 2: Convert to fraction form
    898.96/1,240.20 = 837.20/x
  3. Step 3: Cross multiply
    898.96x = 1,240.20 × 837.20
  4. Step 4: Simplify right side
    898.96x = 1,038,295.44
  5. Step 5: Solve for x
    x = 1,038,295.44/898.96
  6. Step 6: Final answer
    x = 1,155.00

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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.