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Finding the Fourth Proportional to 688.11, 1,033.52 and 590.58

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Solution

The fourth proportional to 688.11, 1,033.52 and 590.58 is: 887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.11 : 1,033.52 = 590.58 : x
  2. Step 2: Convert to fraction form
    688.11/1,033.52 = 590.58/x
  3. Step 3: Cross multiply
    688.11x = 1,033.52 × 590.58
  4. Step 4: Simplify right side
    688.11x = 610,373.29
  5. Step 5: Solve for x
    x = 610,373.29/688.11
  6. Step 6: Final answer
    x = 887.03

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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.