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Finding the Fourth Proportional to 898.08, 1,239.34 and 499.74

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Solution

The fourth proportional to 898.08, 1,239.34 and 499.74 is: 689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.08 : 1,239.34 = 499.74 : x
  2. Step 2: Convert to fraction form
    898.08/1,239.34 = 499.74/x
  3. Step 3: Cross multiply
    898.08x = 1,239.34 × 499.74
  4. Step 4: Simplify right side
    898.08x = 619,347.77
  5. Step 5: Solve for x
    x = 619,347.77/898.08
  6. Step 6: Final answer
    x = 689.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.