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Finding the Fourth Proportional to 898.05, 1,344.58 and 458.36

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Solution

The fourth proportional to 898.05, 1,344.58 and 458.36 is: 686.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.05 : 1,344.58 = 458.36 : x
  2. Step 2: Convert to fraction form
    898.05/1,344.58 = 458.36/x
  3. Step 3: Cross multiply
    898.05x = 1,344.58 × 458.36
  4. Step 4: Simplify right side
    898.05x = 616,298.86
  5. Step 5: Solve for x
    x = 616,298.86/898.05
  6. Step 6: Final answer
    x = 686.26

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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.