Home / 1,029.80-1,423.45-948.05

Finding the Fourth Proportional to 1,029.80, 1,423.45 and 948.05

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Solution

The fourth proportional to 1,029.80, 1,423.45 and 948.05 is: 1,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.80 : 1,423.45 = 948.05 : x
  2. Step 2: Convert to fraction form
    1,029.80/1,423.45 = 948.05/x
  3. Step 3: Cross multiply
    1,029.80x = 1,423.45 × 948.05
  4. Step 4: Simplify right side
    1,029.80x = 1,349,510.96
  5. Step 5: Solve for x
    x = 1,349,510.96/1,029.80
  6. Step 6: Final answer
    x = 1,310.47

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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.