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Finding the Fourth Proportional to 1,143.84, 1,715.40 and 558.72

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Solution

The fourth proportional to 1,143.84, 1,715.40 and 558.72 is: 837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.84 : 1,715.40 = 558.72 : x
  2. Step 2: Convert to fraction form
    1,143.84/1,715.40 = 558.72/x
  3. Step 3: Cross multiply
    1,143.84x = 1,715.40 × 558.72
  4. Step 4: Simplify right side
    1,143.84x = 958,428.29
  5. Step 5: Solve for x
    x = 958,428.29/1,143.84
  6. Step 6: Final answer
    x = 837.90

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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.