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Finding the Fourth Proportional to 898.01, 1,347.81 and 459.57

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Solution

The fourth proportional to 898.01, 1,347.81 and 459.57 is: 689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.01 : 1,347.81 = 459.57 : x
  2. Step 2: Convert to fraction form
    898.01/1,347.81 = 459.57/x
  3. Step 3: Cross multiply
    898.01x = 1,347.81 × 459.57
  4. Step 4: Simplify right side
    898.01x = 619,420.25
  5. Step 5: Solve for x
    x = 619,420.25/898.01
  6. Step 6: Final answer
    x = 689.77

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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.