Home / 1,023.67-1,412.80-581.72

Finding the Fourth Proportional to 1,023.67, 1,412.80 and 581.72

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Solution

The fourth proportional to 1,023.67, 1,412.80 and 581.72 is: 802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.67 : 1,412.80 = 581.72 : x
  2. Step 2: Convert to fraction form
    1,023.67/1,412.80 = 581.72/x
  3. Step 3: Cross multiply
    1,023.67x = 1,412.80 × 581.72
  4. Step 4: Simplify right side
    1,023.67x = 821,854.02
  5. Step 5: Solve for x
    x = 821,854.02/1,023.67
  6. Step 6: Final answer
    x = 802.85

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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.