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Finding the Fourth Proportional to 1,307.11, 1,803.82 and 717.65

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Solution

The fourth proportional to 1,307.11, 1,803.82 and 717.65 is: 990.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.11 : 1,803.82 = 717.65 : x
  2. Step 2: Convert to fraction form
    1,307.11/1,803.82 = 717.65/x
  3. Step 3: Cross multiply
    1,307.11x = 1,803.82 × 717.65
  4. Step 4: Simplify right side
    1,307.11x = 1,294,514.14
  5. Step 5: Solve for x
    x = 1,294,514.14/1,307.11
  6. Step 6: Final answer
    x = 990.37

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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.