Home / 1,042.16-1,564.73-1,023.71

Finding the Fourth Proportional to 1,042.16, 1,564.73 and 1,023.71

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Solution

The fourth proportional to 1,042.16, 1,564.73 and 1,023.71 is: 1,537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.16 : 1,564.73 = 1,023.71 : x
  2. Step 2: Convert to fraction form
    1,042.16/1,564.73 = 1,023.71/x
  3. Step 3: Cross multiply
    1,042.16x = 1,564.73 × 1,023.71
  4. Step 4: Simplify right side
    1,042.16x = 1,601,829.75
  5. Step 5: Solve for x
    x = 1,601,829.75/1,042.16
  6. Step 6: Final answer
    x = 1,537.03

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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.