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Finding the Fourth Proportional to 1,176.76, 1,765.23 and 591.46

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Solution

The fourth proportional to 1,176.76, 1,765.23 and 591.46 is: 887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.76 : 1,765.23 = 591.46 : x
  2. Step 2: Convert to fraction form
    1,176.76/1,765.23 = 591.46/x
  3. Step 3: Cross multiply
    1,176.76x = 1,765.23 × 591.46
  4. Step 4: Simplify right side
    1,176.76x = 1,044,054.11
  5. Step 5: Solve for x
    x = 1,044,054.11/1,176.76
  6. Step 6: Final answer
    x = 887.23

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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.