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Finding the Fourth Proportional to 1,306.63, 1,959.54 and 647.83

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Solution

The fourth proportional to 1,306.63, 1,959.54 and 647.83 is: 971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.63 : 1,959.54 = 647.83 : x
  2. Step 2: Convert to fraction form
    1,306.63/1,959.54 = 647.83/x
  3. Step 3: Cross multiply
    1,306.63x = 1,959.54 × 647.83
  4. Step 4: Simplify right side
    1,306.63x = 1,269,448.80
  5. Step 5: Solve for x
    x = 1,269,448.80/1,306.63
  6. Step 6: Final answer
    x = 971.54

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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.