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Finding the Fourth Proportional to 1,307.86, 1,959.15 and 729.52

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Solution

The fourth proportional to 1,307.86, 1,959.15 and 729.52 is: 1,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.86 : 1,959.15 = 729.52 : x
  2. Step 2: Convert to fraction form
    1,307.86/1,959.15 = 729.52/x
  3. Step 3: Cross multiply
    1,307.86x = 1,959.15 × 729.52
  4. Step 4: Simplify right side
    1,307.86x = 1,429,239.11
  5. Step 5: Solve for x
    x = 1,429,239.11/1,307.86
  6. Step 6: Final answer
    x = 1,092.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.