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Finding the Fourth Proportional to 1,117.64, 1,542.45 and 620.38

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Solution

The fourth proportional to 1,117.64, 1,542.45 and 620.38 is: 856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.64 : 1,542.45 = 620.38 : x
  2. Step 2: Convert to fraction form
    1,117.64/1,542.45 = 620.38/x
  3. Step 3: Cross multiply
    1,117.64x = 1,542.45 × 620.38
  4. Step 4: Simplify right side
    1,117.64x = 956,901.84
  5. Step 5: Solve for x
    x = 956,901.84/1,117.64
  6. Step 6: Final answer
    x = 856.18

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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.