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Finding the Fourth Proportional to 1,156.71, 1,595.78 and 708.76

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Solution

The fourth proportional to 1,156.71, 1,595.78 and 708.76 is: 977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.71 : 1,595.78 = 708.76 : x
  2. Step 2: Convert to fraction form
    1,156.71/1,595.78 = 708.76/x
  3. Step 3: Cross multiply
    1,156.71x = 1,595.78 × 708.76
  4. Step 4: Simplify right side
    1,156.71x = 1,131,019.66
  5. Step 5: Solve for x
    x = 1,131,019.66/1,156.71
  6. Step 6: Final answer
    x = 977.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.