Home / 1,024.13-1,534.75-584.48

Finding the Fourth Proportional to 1,024.13, 1,534.75 and 584.48

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Solution

The fourth proportional to 1,024.13, 1,534.75 and 584.48 is: 875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.13 : 1,534.75 = 584.48 : x
  2. Step 2: Convert to fraction form
    1,024.13/1,534.75 = 584.48/x
  3. Step 3: Cross multiply
    1,024.13x = 1,534.75 × 584.48
  4. Step 4: Simplify right side
    1,024.13x = 897,033.06
  5. Step 5: Solve for x
    x = 897,033.06/1,024.13
  6. Step 6: Final answer
    x = 875.90

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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.