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Finding the Fourth Proportional to 1,069.60, 1,604.08 and 556.32

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Solution

The fourth proportional to 1,069.60, 1,604.08 and 556.32 is: 834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.60 : 1,604.08 = 556.32 : x
  2. Step 2: Convert to fraction form
    1,069.60/1,604.08 = 556.32/x
  3. Step 3: Cross multiply
    1,069.60x = 1,604.08 × 556.32
  4. Step 4: Simplify right side
    1,069.60x = 892,381.79
  5. Step 5: Solve for x
    x = 892,381.79/1,069.60
  6. Step 6: Final answer
    x = 834.31

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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.