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Finding the Fourth Proportional to 1,151.58, 1,728.18 and 719.04

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Solution

The fourth proportional to 1,151.58, 1,728.18 and 719.04 is: 1,079.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.58 : 1,728.18 = 719.04 : x
  2. Step 2: Convert to fraction form
    1,151.58/1,728.18 = 719.04/x
  3. Step 3: Cross multiply
    1,151.58x = 1,728.18 × 719.04
  4. Step 4: Simplify right side
    1,151.58x = 1,242,630.55
  5. Step 5: Solve for x
    x = 1,242,630.55/1,151.58
  6. Step 6: Final answer
    x = 1,079.07

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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.