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Finding the Fourth Proportional to 1,306.21, 1,802.61 and 716.77

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Solution

The fourth proportional to 1,306.21, 1,802.61 and 716.77 is: 989.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.21 : 1,802.61 = 716.77 : x
  2. Step 2: Convert to fraction form
    1,306.21/1,802.61 = 716.77/x
  3. Step 3: Cross multiply
    1,306.21x = 1,802.61 × 716.77
  4. Step 4: Simplify right side
    1,306.21x = 1,292,056.77
  5. Step 5: Solve for x
    x = 1,292,056.77/1,306.21
  6. Step 6: Final answer
    x = 989.16

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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.