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Finding the Fourth Proportional to 1,535.43, 2,302.68 and 714.39

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Solution

The fourth proportional to 1,535.43, 2,302.68 and 714.39 is: 1,071.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.43 : 2,302.68 = 714.39 : x
  2. Step 2: Convert to fraction form
    1,535.43/2,302.68 = 714.39/x
  3. Step 3: Cross multiply
    1,535.43x = 2,302.68 × 714.39
  4. Step 4: Simplify right side
    1,535.43x = 1,645,011.57
  5. Step 5: Solve for x
    x = 1,645,011.57/1,535.43
  6. Step 6: Final answer
    x = 1,071.37

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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.