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Finding the Fourth Proportional to 1,306.13, 1,802.61 and 746.68

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Solution

The fourth proportional to 1,306.13, 1,802.61 and 746.68 is: 1,030.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.13 : 1,802.61 = 746.68 : x
  2. Step 2: Convert to fraction form
    1,306.13/1,802.61 = 746.68/x
  3. Step 3: Cross multiply
    1,306.13x = 1,802.61 × 746.68
  4. Step 4: Simplify right side
    1,306.13x = 1,345,972.83
  5. Step 5: Solve for x
    x = 1,345,972.83/1,306.13
  6. Step 6: Final answer
    x = 1,030.50

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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.