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Finding the Fourth Proportional to 1,074.48, 1,609.02 and 586.32

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Solution

The fourth proportional to 1,074.48, 1,609.02 and 586.32 is: 878.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.48 : 1,609.02 = 586.32 : x
  2. Step 2: Convert to fraction form
    1,074.48/1,609.02 = 586.32/x
  3. Step 3: Cross multiply
    1,074.48x = 1,609.02 × 586.32
  4. Step 4: Simplify right side
    1,074.48x = 943,400.61
  5. Step 5: Solve for x
    x = 943,400.61/1,074.48
  6. Step 6: Final answer
    x = 878.01

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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.