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Finding the Fourth Proportional to 898.56, 1,345.95 and 410.40

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Solution

The fourth proportional to 898.56, 1,345.95 and 410.40 is: 614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.56 : 1,345.95 = 410.40 : x
  2. Step 2: Convert to fraction form
    898.56/1,345.95 = 410.40/x
  3. Step 3: Cross multiply
    898.56x = 1,345.95 × 410.40
  4. Step 4: Simplify right side
    898.56x = 552,377.88
  5. Step 5: Solve for x
    x = 552,377.88/898.56
  6. Step 6: Final answer
    x = 614.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.