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Finding the Fourth Proportional to 1,306.50, 1,803.01 and 717.07

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Solution

The fourth proportional to 1,306.50, 1,803.01 and 717.07 is: 989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.50 : 1,803.01 = 717.07 : x
  2. Step 2: Convert to fraction form
    1,306.50/1,803.01 = 717.07/x
  3. Step 3: Cross multiply
    1,306.50x = 1,803.01 × 717.07
  4. Step 4: Simplify right side
    1,306.50x = 1,292,892.26
  5. Step 5: Solve for x
    x = 1,292,892.26/1,306.50
  6. Step 6: Final answer
    x = 989.58

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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.