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Finding the Fourth Proportional to 898.81, 1,349.46 and 592.63

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Solution

The fourth proportional to 898.81, 1,349.46 and 592.63 is: 889.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.81 : 1,349.46 = 592.63 : x
  2. Step 2: Convert to fraction form
    898.81/1,349.46 = 592.63/x
  3. Step 3: Cross multiply
    898.81x = 1,349.46 × 592.63
  4. Step 4: Simplify right side
    898.81x = 799,727.11
  5. Step 5: Solve for x
    x = 799,727.11/898.81
  6. Step 6: Final answer
    x = 889.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.