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Finding the Fourth Proportional to 1,604.62, 2,403.45 and 781.16

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Solution

The fourth proportional to 1,604.62, 2,403.45 and 781.16 is: 1,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.62 : 2,403.45 = 781.16 : x
  2. Step 2: Convert to fraction form
    1,604.62/2,403.45 = 781.16/x
  3. Step 3: Cross multiply
    1,604.62x = 2,403.45 × 781.16
  4. Step 4: Simplify right side
    1,604.62x = 1,877,479.00
  5. Step 5: Solve for x
    x = 1,877,479.00/1,604.62
  6. Step 6: Final answer
    x = 1,170.05

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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.