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Finding the Fourth Proportional to 1,315.59, 1,973.78 and 391.17

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Solution

The fourth proportional to 1,315.59, 1,973.78 and 391.17 is: 586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.59 : 1,973.78 = 391.17 : x
  2. Step 2: Convert to fraction form
    1,315.59/1,973.78 = 391.17/x
  3. Step 3: Cross multiply
    1,315.59x = 1,973.78 × 391.17
  4. Step 4: Simplify right side
    1,315.59x = 772,081.57
  5. Step 5: Solve for x
    x = 772,081.57/1,315.59
  6. Step 6: Final answer
    x = 586.87

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