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Finding the Fourth Proportional to 1,307.14, 1,805.29 and 866.90

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Solution

The fourth proportional to 1,307.14, 1,805.29 and 866.90 is: 1,197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.14 : 1,805.29 = 866.90 : x
  2. Step 2: Convert to fraction form
    1,307.14/1,805.29 = 866.90/x
  3. Step 3: Cross multiply
    1,307.14x = 1,805.29 × 866.90
  4. Step 4: Simplify right side
    1,307.14x = 1,565,008.25
  5. Step 5: Solve for x
    x = 1,565,008.25/1,307.14
  6. Step 6: Final answer
    x = 1,197.28

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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.