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Finding the Fourth Proportional to 1,117.94, 1,677.20 and 387.59

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Solution

The fourth proportional to 1,117.94, 1,677.20 and 387.59 is: 581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.94 : 1,677.20 = 387.59 : x
  2. Step 2: Convert to fraction form
    1,117.94/1,677.20 = 387.59/x
  3. Step 3: Cross multiply
    1,117.94x = 1,677.20 × 387.59
  4. Step 4: Simplify right side
    1,117.94x = 650,055.62
  5. Step 5: Solve for x
    x = 650,055.62/1,117.94
  6. Step 6: Final answer
    x = 581.48

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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.