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Finding the Fourth Proportional to 1,074.45, 1,612.59 and 587.85

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Solution

The fourth proportional to 1,074.45, 1,612.59 and 587.85 is: 882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.45 : 1,612.59 = 587.85 : x
  2. Step 2: Convert to fraction form
    1,074.45/1,612.59 = 587.85/x
  3. Step 3: Cross multiply
    1,074.45x = 1,612.59 × 587.85
  4. Step 4: Simplify right side
    1,074.45x = 947,961.03
  5. Step 5: Solve for x
    x = 947,961.03/1,074.45
  6. Step 6: Final answer
    x = 882.28

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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.