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Finding the Fourth Proportional to 1,542.93, 2,314.52 and 555.95

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Solution

The fourth proportional to 1,542.93, 2,314.52 and 555.95 is: 833.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.93 : 2,314.52 = 555.95 : x
  2. Step 2: Convert to fraction form
    1,542.93/2,314.52 = 555.95/x
  3. Step 3: Cross multiply
    1,542.93x = 2,314.52 × 555.95
  4. Step 4: Simplify right side
    1,542.93x = 1,286,743.04
  5. Step 5: Solve for x
    x = 1,286,743.04/1,542.93
  6. Step 6: Final answer
    x = 833.96

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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.