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Finding the Fourth Proportional to 1,307.61, 1,959.84 and 576.36

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Solution

The fourth proportional to 1,307.61, 1,959.84 and 576.36 is: 863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.61 : 1,959.84 = 576.36 : x
  2. Step 2: Convert to fraction form
    1,307.61/1,959.84 = 576.36/x
  3. Step 3: Cross multiply
    1,307.61x = 1,959.84 × 576.36
  4. Step 4: Simplify right side
    1,307.61x = 1,129,573.38
  5. Step 5: Solve for x
    x = 1,129,573.38/1,307.61
  6. Step 6: Final answer
    x = 863.85

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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.