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Finding the Fourth Proportional to 1,357.15, 2,034.51 and 708.34

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Solution

The fourth proportional to 1,357.15, 2,034.51 and 708.34 is: 1,061.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.15 : 2,034.51 = 708.34 : x
  2. Step 2: Convert to fraction form
    1,357.15/2,034.51 = 708.34/x
  3. Step 3: Cross multiply
    1,357.15x = 2,034.51 × 708.34
  4. Step 4: Simplify right side
    1,357.15x = 1,441,124.81
  5. Step 5: Solve for x
    x = 1,441,124.81/1,357.15
  6. Step 6: Final answer
    x = 1,061.88

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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.