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Finding the Fourth Proportional to 1,117.55, 1,542.41 and 620.35

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Solution

The fourth proportional to 1,117.55, 1,542.41 and 620.35 is: 856.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.55 : 1,542.41 = 620.35 : x
  2. Step 2: Convert to fraction form
    1,117.55/1,542.41 = 620.35/x
  3. Step 3: Cross multiply
    1,117.55x = 1,542.41 × 620.35
  4. Step 4: Simplify right side
    1,117.55x = 956,830.94
  5. Step 5: Solve for x
    x = 956,830.94/1,117.55
  6. Step 6: Final answer
    x = 856.19

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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.