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Finding the Fourth Proportional to 1,177.58, 1,766.66 and 561.11

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Solution

The fourth proportional to 1,177.58, 1,766.66 and 561.11 is: 841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.58 : 1,766.66 = 561.11 : x
  2. Step 2: Convert to fraction form
    1,177.58/1,766.66 = 561.11/x
  3. Step 3: Cross multiply
    1,177.58x = 1,766.66 × 561.11
  4. Step 4: Simplify right side
    1,177.58x = 991,278.95
  5. Step 5: Solve for x
    x = 991,278.95/1,177.58
  6. Step 6: Final answer
    x = 841.80

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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.