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Finding the Fourth Proportional to 1,132.95, 1,698.57 and 577.74

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Solution

The fourth proportional to 1,132.95, 1,698.57 and 577.74 is: 866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.95 : 1,698.57 = 577.74 : x
  2. Step 2: Convert to fraction form
    1,132.95/1,698.57 = 577.74/x
  3. Step 3: Cross multiply
    1,132.95x = 1,698.57 × 577.74
  4. Step 4: Simplify right side
    1,132.95x = 981,331.83
  5. Step 5: Solve for x
    x = 981,331.83/1,132.95
  6. Step 6: Final answer
    x = 866.17

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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.