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Finding the Fourth Proportional to 1,306.02, 1,802.32 and 716.54

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Solution

The fourth proportional to 1,306.02, 1,802.32 and 716.54 is: 988.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.02 : 1,802.32 = 716.54 : x
  2. Step 2: Convert to fraction form
    1,306.02/1,802.32 = 716.54/x
  3. Step 3: Cross multiply
    1,306.02x = 1,802.32 × 716.54
  4. Step 4: Simplify right side
    1,306.02x = 1,291,434.37
  5. Step 5: Solve for x
    x = 1,291,434.37/1,306.02
  6. Step 6: Final answer
    x = 988.83

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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.