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Finding the Fourth Proportional to 675.48, 1,012.08 and 459.24

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Solution

The fourth proportional to 675.48, 1,012.08 and 459.24 is: 688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.48 : 1,012.08 = 459.24 : x
  2. Step 2: Convert to fraction form
    675.48/1,012.08 = 459.24/x
  3. Step 3: Cross multiply
    675.48x = 1,012.08 × 459.24
  4. Step 4: Simplify right side
    675.48x = 464,787.62
  5. Step 5: Solve for x
    x = 464,787.62/675.48
  6. Step 6: Final answer
    x = 688.08

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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.