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Finding the Fourth Proportional to 898.67, 1,347.55 and 459.86

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Solution

The fourth proportional to 898.67, 1,347.55 and 459.86 is: 689.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.67 : 1,347.55 = 459.86 : x
  2. Step 2: Convert to fraction form
    898.67/1,347.55 = 459.86/x
  3. Step 3: Cross multiply
    898.67x = 1,347.55 × 459.86
  4. Step 4: Simplify right side
    898.67x = 619,676.46
  5. Step 5: Solve for x
    x = 619,676.46/898.67
  6. Step 6: Final answer
    x = 689.55

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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.