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Finding the Fourth Proportional to 1,585.66, 2,377.63 and 719.50

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Solution

The fourth proportional to 1,585.66, 2,377.63 and 719.50 is: 1,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.66 : 2,377.63 = 719.50 : x
  2. Step 2: Convert to fraction form
    1,585.66/2,377.63 = 719.50/x
  3. Step 3: Cross multiply
    1,585.66x = 2,377.63 × 719.50
  4. Step 4: Simplify right side
    1,585.66x = 1,710,704.79
  5. Step 5: Solve for x
    x = 1,710,704.79/1,585.66
  6. Step 6: Final answer
    x = 1,078.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.