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Finding the Fourth Proportional to 1,364.15, 2,046.01 and 542.13

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Solution

The fourth proportional to 1,364.15, 2,046.01 and 542.13 is: 813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.15 : 2,046.01 = 542.13 : x
  2. Step 2: Convert to fraction form
    1,364.15/2,046.01 = 542.13/x
  3. Step 3: Cross multiply
    1,364.15x = 2,046.01 × 542.13
  4. Step 4: Simplify right side
    1,364.15x = 1,109,203.40
  5. Step 5: Solve for x
    x = 1,109,203.40/1,364.15
  6. Step 6: Final answer
    x = 813.11

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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.