Home / 1,042.29-1,438.10-649.04

Finding the Fourth Proportional to 1,042.29, 1,438.10 and 649.04

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Solution

The fourth proportional to 1,042.29, 1,438.10 and 649.04 is: 895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.29 : 1,438.10 = 649.04 : x
  2. Step 2: Convert to fraction form
    1,042.29/1,438.10 = 649.04/x
  3. Step 3: Cross multiply
    1,042.29x = 1,438.10 × 649.04
  4. Step 4: Simplify right side
    1,042.29x = 933,373.99
  5. Step 5: Solve for x
    x = 933,373.99/1,042.29
  6. Step 6: Final answer
    x = 895.50

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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.