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Finding the Fourth Proportional to 1,309.46, 1,803.48 and 1,029.27

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Solution

The fourth proportional to 1,309.46, 1,803.48 and 1,029.27 is: 1,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.46 : 1,803.48 = 1,029.27 : x
  2. Step 2: Convert to fraction form
    1,309.46/1,803.48 = 1,029.27/x
  3. Step 3: Cross multiply
    1,309.46x = 1,803.48 × 1,029.27
  4. Step 4: Simplify right side
    1,309.46x = 1,856,267.86
  5. Step 5: Solve for x
    x = 1,856,267.86/1,309.46
  6. Step 6: Final answer
    x = 1,417.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.