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Finding the Fourth Proportional to 672.48, 1,004.28 and 542.64

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Solution

The fourth proportional to 672.48, 1,004.28 and 542.64 is: 810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.48 : 1,004.28 = 542.64 : x
  2. Step 2: Convert to fraction form
    672.48/1,004.28 = 542.64/x
  3. Step 3: Cross multiply
    672.48x = 1,004.28 × 542.64
  4. Step 4: Simplify right side
    672.48x = 544,962.50
  5. Step 5: Solve for x
    x = 544,962.50/672.48
  6. Step 6: Final answer
    x = 810.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.