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Finding the Fourth Proportional to 1,124.11, 1,685.77 and 393.54

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Solution

The fourth proportional to 1,124.11, 1,685.77 and 393.54 is: 590.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.11 : 1,685.77 = 393.54 : x
  2. Step 2: Convert to fraction form
    1,124.11/1,685.77 = 393.54/x
  3. Step 3: Cross multiply
    1,124.11x = 1,685.77 × 393.54
  4. Step 4: Simplify right side
    1,124.11x = 663,417.93
  5. Step 5: Solve for x
    x = 663,417.93/1,124.11
  6. Step 6: Final answer
    x = 590.17

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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.