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Finding the Fourth Proportional to 1,143.86, 1,715.79 and 278.17

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Solution

The fourth proportional to 1,143.86, 1,715.79 and 278.17 is: 417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.86 : 1,715.79 = 278.17 : x
  2. Step 2: Convert to fraction form
    1,143.86/1,715.79 = 278.17/x
  3. Step 3: Cross multiply
    1,143.86x = 1,715.79 × 278.17
  4. Step 4: Simplify right side
    1,143.86x = 477,281.30
  5. Step 5: Solve for x
    x = 477,281.30/1,143.86
  6. Step 6: Final answer
    x = 417.26

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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.