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Finding the Fourth Proportional to 1,306.14, 1,802.43 and 746.70

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Solution

The fourth proportional to 1,306.14, 1,802.43 and 746.70 is: 1,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.14 : 1,802.43 = 746.70 : x
  2. Step 2: Convert to fraction form
    1,306.14/1,802.43 = 746.70/x
  3. Step 3: Cross multiply
    1,306.14x = 1,802.43 × 746.70
  4. Step 4: Simplify right side
    1,306.14x = 1,345,874.48
  5. Step 5: Solve for x
    x = 1,345,874.48/1,306.14
  6. Step 6: Final answer
    x = 1,030.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.