Home / 1,029.98-1,421.38-557.87

Finding the Fourth Proportional to 1,029.98, 1,421.38 and 557.87

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Solution

The fourth proportional to 1,029.98, 1,421.38 and 557.87 is: 769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.98 : 1,421.38 = 557.87 : x
  2. Step 2: Convert to fraction form
    1,029.98/1,421.38 = 557.87/x
  3. Step 3: Cross multiply
    1,029.98x = 1,421.38 × 557.87
  4. Step 4: Simplify right side
    1,029.98x = 792,949.04
  5. Step 5: Solve for x
    x = 792,949.04/1,029.98
  6. Step 6: Final answer
    x = 769.87

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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.