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Finding the Fourth Proportional to 1,132.82, 1,698.06 and 583.78

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Solution

The fourth proportional to 1,132.82, 1,698.06 and 583.78 is: 875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.82 : 1,698.06 = 583.78 : x
  2. Step 2: Convert to fraction form
    1,132.82/1,698.06 = 583.78/x
  3. Step 3: Cross multiply
    1,132.82x = 1,698.06 × 583.78
  4. Step 4: Simplify right side
    1,132.82x = 991,293.47
  5. Step 5: Solve for x
    x = 991,293.47/1,132.82
  6. Step 6: Final answer
    x = 875.07

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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.