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Finding the Fourth Proportional to 1,151.71, 1,589.35 and 703.57

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Solution

The fourth proportional to 1,151.71, 1,589.35 and 703.57 is: 970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.71 : 1,589.35 = 703.57 : x
  2. Step 2: Convert to fraction form
    1,151.71/1,589.35 = 703.57/x
  3. Step 3: Cross multiply
    1,151.71x = 1,589.35 × 703.57
  4. Step 4: Simplify right side
    1,151.71x = 1,118,215.46
  5. Step 5: Solve for x
    x = 1,118,215.46/1,151.71
  6. Step 6: Final answer
    x = 970.92

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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.