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Finding the Fourth Proportional to 1,182.86, 1,632.54 and 710.78

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Solution

The fourth proportional to 1,182.86, 1,632.54 and 710.78 is: 980.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.86 : 1,632.54 = 710.78 : x
  2. Step 2: Convert to fraction form
    1,182.86/1,632.54 = 710.78/x
  3. Step 3: Cross multiply
    1,182.86x = 1,632.54 × 710.78
  4. Step 4: Simplify right side
    1,182.86x = 1,160,376.78
  5. Step 5: Solve for x
    x = 1,160,376.78/1,182.86
  6. Step 6: Final answer
    x = 980.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.