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Finding the Fourth Proportional to 1,176.74, 1,766.25 and 560.87

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Solution

The fourth proportional to 1,176.74, 1,766.25 and 560.87 is: 841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.74 : 1,766.25 = 560.87 : x
  2. Step 2: Convert to fraction form
    1,176.74/1,766.25 = 560.87/x
  3. Step 3: Cross multiply
    1,176.74x = 1,766.25 × 560.87
  4. Step 4: Simplify right side
    1,176.74x = 990,627.81
  5. Step 5: Solve for x
    x = 990,627.81/1,176.74
  6. Step 6: Final answer
    x = 841.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.