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Finding the Fourth Proportional to 684.24, 1,026.36 and 542.16

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Solution

The fourth proportional to 684.24, 1,026.36 and 542.16 is: 813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.24 : 1,026.36 = 542.16 : x
  2. Step 2: Convert to fraction form
    684.24/1,026.36 = 542.16/x
  3. Step 3: Cross multiply
    684.24x = 1,026.36 × 542.16
  4. Step 4: Simplify right side
    684.24x = 556,451.34
  5. Step 5: Solve for x
    x = 556,451.34/684.24
  6. Step 6: Final answer
    x = 813.24

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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.