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Finding the Fourth Proportional to 1,306.63, 1,959.51 and 526.43

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Solution

The fourth proportional to 1,306.63, 1,959.51 and 526.43 is: 789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.63 : 1,959.51 = 526.43 : x
  2. Step 2: Convert to fraction form
    1,306.63/1,959.51 = 526.43/x
  3. Step 3: Cross multiply
    1,306.63x = 1,959.51 × 526.43
  4. Step 4: Simplify right side
    1,306.63x = 1,031,544.85
  5. Step 5: Solve for x
    x = 1,031,544.85/1,306.63
  6. Step 6: Final answer
    x = 789.47

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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.