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Finding the Fourth Proportional to 1,104.23, 1,655.83 and 642.14

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Solution

The fourth proportional to 1,104.23, 1,655.83 and 642.14 is: 962.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.23 : 1,655.83 = 642.14 : x
  2. Step 2: Convert to fraction form
    1,104.23/1,655.83 = 642.14/x
  3. Step 3: Cross multiply
    1,104.23x = 1,655.83 × 642.14
  4. Step 4: Simplify right side
    1,104.23x = 1,063,264.79
  5. Step 5: Solve for x
    x = 1,063,264.79/1,104.23
  6. Step 6: Final answer
    x = 962.91

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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.