Home / 1,023.26-1,534.98-584.72

Finding the Fourth Proportional to 1,023.26, 1,534.98 and 584.72

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Solution

The fourth proportional to 1,023.26, 1,534.98 and 584.72 is: 877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.26 : 1,534.98 = 584.72 : x
  2. Step 2: Convert to fraction form
    1,023.26/1,534.98 = 584.72/x
  3. Step 3: Cross multiply
    1,023.26x = 1,534.98 × 584.72
  4. Step 4: Simplify right side
    1,023.26x = 897,528.85
  5. Step 5: Solve for x
    x = 897,528.85/1,023.26
  6. Step 6: Final answer
    x = 877.13

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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.