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Finding the Fourth Proportional to 1,306.17, 1,959.66 and 526.50

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Solution

The fourth proportional to 1,306.17, 1,959.66 and 526.50 is: 789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.17 : 1,959.66 = 526.50 : x
  2. Step 2: Convert to fraction form
    1,306.17/1,959.66 = 526.50/x
  3. Step 3: Cross multiply
    1,306.17x = 1,959.66 × 526.50
  4. Step 4: Simplify right side
    1,306.17x = 1,031,760.99
  5. Step 5: Solve for x
    x = 1,031,760.99/1,306.17
  6. Step 6: Final answer
    x = 789.91

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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.