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Finding the Fourth Proportional to 1,176.99, 1,764.46 and 560.40

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Solution

The fourth proportional to 1,176.99, 1,764.46 and 560.40 is: 840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.99 : 1,764.46 = 560.40 : x
  2. Step 2: Convert to fraction form
    1,176.99/1,764.46 = 560.40/x
  3. Step 3: Cross multiply
    1,176.99x = 1,764.46 × 560.40
  4. Step 4: Simplify right side
    1,176.99x = 988,803.38
  5. Step 5: Solve for x
    x = 988,803.38/1,176.99
  6. Step 6: Final answer
    x = 840.11

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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.