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Finding the Fourth Proportional to 1,029.94, 1,543.65 and 542.68

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Solution

The fourth proportional to 1,029.94, 1,543.65 and 542.68 is: 813.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.94 : 1,543.65 = 542.68 : x
  2. Step 2: Convert to fraction form
    1,029.94/1,543.65 = 542.68/x
  3. Step 3: Cross multiply
    1,029.94x = 1,543.65 × 542.68
  4. Step 4: Simplify right side
    1,029.94x = 837,707.98
  5. Step 5: Solve for x
    x = 837,707.98/1,029.94
  6. Step 6: Final answer
    x = 813.36

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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.