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Finding the Fourth Proportional to 1,307.34, 1,959.80 and 576.52

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Solution

The fourth proportional to 1,307.34, 1,959.80 and 576.52 is: 864.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.34 : 1,959.80 = 576.52 : x
  2. Step 2: Convert to fraction form
    1,307.34/1,959.80 = 576.52/x
  3. Step 3: Cross multiply
    1,307.34x = 1,959.80 × 576.52
  4. Step 4: Simplify right side
    1,307.34x = 1,129,856.11
  5. Step 5: Solve for x
    x = 1,129,856.11/1,307.34
  6. Step 6: Final answer
    x = 864.24

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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.