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Finding the Fourth Proportional to 1,364.34, 2,046.09 and 542.58

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Solution

The fourth proportional to 1,364.34, 2,046.09 and 542.58 is: 813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.34 : 2,046.09 = 542.58 : x
  2. Step 2: Convert to fraction form
    1,364.34/2,046.09 = 542.58/x
  3. Step 3: Cross multiply
    1,364.34x = 2,046.09 × 542.58
  4. Step 4: Simplify right side
    1,364.34x = 1,110,167.51
  5. Step 5: Solve for x
    x = 1,110,167.51/1,364.34
  6. Step 6: Final answer
    x = 813.70

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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.