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Finding the Fourth Proportional to 1,307.21, 1,803.97 and 717.78

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Solution

The fourth proportional to 1,307.21, 1,803.97 and 717.78 is: 990.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.21 : 1,803.97 = 717.78 : x
  2. Step 2: Convert to fraction form
    1,307.21/1,803.97 = 717.78/x
  3. Step 3: Cross multiply
    1,307.21x = 1,803.97 × 717.78
  4. Step 4: Simplify right side
    1,307.21x = 1,294,851.10
  5. Step 5: Solve for x
    x = 1,294,851.10/1,307.21
  6. Step 6: Final answer
    x = 990.55

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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.