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Finding the Fourth Proportional to 1,438.60, 2,158.36 and 708.24

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Solution

The fourth proportional to 1,438.60, 2,158.36 and 708.24 is: 1,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.60 : 2,158.36 = 708.24 : x
  2. Step 2: Convert to fraction form
    1,438.60/2,158.36 = 708.24/x
  3. Step 3: Cross multiply
    1,438.60x = 2,158.36 × 708.24
  4. Step 4: Simplify right side
    1,438.60x = 1,528,636.89
  5. Step 5: Solve for x
    x = 1,528,636.89/1,438.60
  6. Step 6: Final answer
    x = 1,062.59

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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.