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Finding the Fourth Proportional to 1,176.47, 1,765.79 and 560.60

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Solution

The fourth proportional to 1,176.47, 1,765.79 and 560.60 is: 841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.47 : 1,765.79 = 560.60 : x
  2. Step 2: Convert to fraction form
    1,176.47/1,765.79 = 560.60/x
  3. Step 3: Cross multiply
    1,176.47x = 1,765.79 × 560.60
  4. Step 4: Simplify right side
    1,176.47x = 989,901.87
  5. Step 5: Solve for x
    x = 989,901.87/1,176.47
  6. Step 6: Final answer
    x = 841.42

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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.