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Finding the Fourth Proportional to 1,117.68, 1,542.34 and 620.30

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Solution

The fourth proportional to 1,117.68, 1,542.34 and 620.30 is: 855.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.68 : 1,542.34 = 620.30 : x
  2. Step 2: Convert to fraction form
    1,117.68/1,542.34 = 620.30/x
  3. Step 3: Cross multiply
    1,117.68x = 1,542.34 × 620.30
  4. Step 4: Simplify right side
    1,117.68x = 956,713.50
  5. Step 5: Solve for x
    x = 956,713.50/1,117.68
  6. Step 6: Final answer
    x = 855.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.