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Finding the Fourth Proportional to 688.32, 1,034.64 and 598.14

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Solution

The fourth proportional to 688.32, 1,034.64 and 598.14 is: 899.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.32 : 1,034.64 = 598.14 : x
  2. Step 2: Convert to fraction form
    688.32/1,034.64 = 598.14/x
  3. Step 3: Cross multiply
    688.32x = 1,034.64 × 598.14
  4. Step 4: Simplify right side
    688.32x = 618,859.57
  5. Step 5: Solve for x
    x = 618,859.57/688.32
  6. Step 6: Final answer
    x = 899.09

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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.