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Finding the Fourth Proportional to 898.42, 1,347.17 and 459.60

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Solution

The fourth proportional to 898.42, 1,347.17 and 459.60 is: 689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.42 : 1,347.17 = 459.60 : x
  2. Step 2: Convert to fraction form
    898.42/1,347.17 = 459.60/x
  3. Step 3: Cross multiply
    898.42x = 1,347.17 × 459.60
  4. Step 4: Simplify right side
    898.42x = 619,159.33
  5. Step 5: Solve for x
    x = 619,159.33/898.42
  6. Step 6: Final answer
    x = 689.16

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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.