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Finding the Fourth Proportional to 1,354.04, 2,031.42 and 573.66

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Solution

The fourth proportional to 1,354.04, 2,031.42 and 573.66 is: 860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.04 : 2,031.42 = 573.66 : x
  2. Step 2: Convert to fraction form
    1,354.04/2,031.42 = 573.66/x
  3. Step 3: Cross multiply
    1,354.04x = 2,031.42 × 573.66
  4. Step 4: Simplify right side
    1,354.04x = 1,165,344.40
  5. Step 5: Solve for x
    x = 1,165,344.40/1,354.04
  6. Step 6: Final answer
    x = 860.64

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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.