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Finding the Fourth Proportional to 1,137.86, 1,707.42 and 560.78

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Solution

The fourth proportional to 1,137.86, 1,707.42 and 560.78 is: 841.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.86 : 1,707.42 = 560.78 : x
  2. Step 2: Convert to fraction form
    1,137.86/1,707.42 = 560.78/x
  3. Step 3: Cross multiply
    1,137.86x = 1,707.42 × 560.78
  4. Step 4: Simplify right side
    1,137.86x = 957,486.99
  5. Step 5: Solve for x
    x = 957,486.99/1,137.86
  6. Step 6: Final answer
    x = 841.48

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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.