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Finding the Fourth Proportional to 870.46, 1,311.57 and 719.76

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Solution

The fourth proportional to 870.46, 1,311.57 and 719.76 is: 1,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.46 : 1,311.57 = 719.76 : x
  2. Step 2: Convert to fraction form
    870.46/1,311.57 = 719.76/x
  3. Step 3: Cross multiply
    870.46x = 1,311.57 × 719.76
  4. Step 4: Simplify right side
    870.46x = 944,015.62
  5. Step 5: Solve for x
    x = 944,015.62/870.46
  6. Step 6: Final answer
    x = 1,084.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.