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Finding the Fourth Proportional to 1,307.01, 1,803.69 and 709.52

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Solution

The fourth proportional to 1,307.01, 1,803.69 and 709.52 is: 979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.01 : 1,803.69 = 709.52 : x
  2. Step 2: Convert to fraction form
    1,307.01/1,803.69 = 709.52/x
  3. Step 3: Cross multiply
    1,307.01x = 1,803.69 × 709.52
  4. Step 4: Simplify right side
    1,307.01x = 1,279,745.11
  5. Step 5: Solve for x
    x = 1,279,745.11/1,307.01
  6. Step 6: Final answer
    x = 979.14

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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.