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Finding the Fourth Proportional to 898.19, 1,347.62 and 410.91

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Solution

The fourth proportional to 898.19, 1,347.62 and 410.91 is: 616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.19 : 1,347.62 = 410.91 : x
  2. Step 2: Convert to fraction form
    898.19/1,347.62 = 410.91/x
  3. Step 3: Cross multiply
    898.19x = 1,347.62 × 410.91
  4. Step 4: Simplify right side
    898.19x = 553,748.48
  5. Step 5: Solve for x
    x = 553,748.48/898.19
  6. Step 6: Final answer
    x = 616.52

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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.