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Finding the Fourth Proportional to 1,307.06, 1,959.50 and 658.52

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Solution

The fourth proportional to 1,307.06, 1,959.50 and 658.52 is: 987.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.06 : 1,959.50 = 658.52 : x
  2. Step 2: Convert to fraction form
    1,307.06/1,959.50 = 658.52/x
  3. Step 3: Cross multiply
    1,307.06x = 1,959.50 × 658.52
  4. Step 4: Simplify right side
    1,307.06x = 1,290,369.94
  5. Step 5: Solve for x
    x = 1,290,369.94/1,307.06
  6. Step 6: Final answer
    x = 987.23

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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.