Home / 1,024.36-1,534.26-914.92

Finding the Fourth Proportional to 1,024.36, 1,534.26 and 914.92

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Solution

The fourth proportional to 1,024.36, 1,534.26 and 914.92 is: 1,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.36 : 1,534.26 = 914.92 : x
  2. Step 2: Convert to fraction form
    1,024.36/1,534.26 = 914.92/x
  3. Step 3: Cross multiply
    1,024.36x = 1,534.26 × 914.92
  4. Step 4: Simplify right side
    1,024.36x = 1,403,725.16
  5. Step 5: Solve for x
    x = 1,403,725.16/1,024.36
  6. Step 6: Final answer
    x = 1,370.34

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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.