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Finding the Fourth Proportional to 688.53, 1,033.10 and 278.47

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Solution

The fourth proportional to 688.53, 1,033.10 and 278.47 is: 417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.53 : 1,033.10 = 278.47 : x
  2. Step 2: Convert to fraction form
    688.53/1,033.10 = 278.47/x
  3. Step 3: Cross multiply
    688.53x = 1,033.10 × 278.47
  4. Step 4: Simplify right side
    688.53x = 287,684.08
  5. Step 5: Solve for x
    x = 287,684.08/688.53
  6. Step 6: Final answer
    x = 417.82

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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.