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Finding the Fourth Proportional to 1,402.39, 2,104.49 and 536.70

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Solution

The fourth proportional to 1,402.39, 2,104.49 and 536.70 is: 805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.39 : 2,104.49 = 536.70 : x
  2. Step 2: Convert to fraction form
    1,402.39/2,104.49 = 536.70/x
  3. Step 3: Cross multiply
    1,402.39x = 2,104.49 × 536.70
  4. Step 4: Simplify right side
    1,402.39x = 1,129,479.78
  5. Step 5: Solve for x
    x = 1,129,479.78/1,402.39
  6. Step 6: Final answer
    x = 805.40

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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.