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Finding the Fourth Proportional to 1,156.01, 1,734.55 and 578.88

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Solution

The fourth proportional to 1,156.01, 1,734.55 and 578.88 is: 868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.01 : 1,734.55 = 578.88 : x
  2. Step 2: Convert to fraction form
    1,156.01/1,734.55 = 578.88/x
  3. Step 3: Cross multiply
    1,156.01x = 1,734.55 × 578.88
  4. Step 4: Simplify right side
    1,156.01x = 1,004,094.86
  5. Step 5: Solve for x
    x = 1,004,094.86/1,156.01
  6. Step 6: Final answer
    x = 868.59

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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.