Home / 1,032.06-1,424.34-566.40

Finding the Fourth Proportional to 1,032.06, 1,424.34 and 566.40

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Solution

The fourth proportional to 1,032.06, 1,424.34 and 566.40 is: 781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.06 : 1,424.34 = 566.40 : x
  2. Step 2: Convert to fraction form
    1,032.06/1,424.34 = 566.40/x
  3. Step 3: Cross multiply
    1,032.06x = 1,424.34 × 566.40
  4. Step 4: Simplify right side
    1,032.06x = 806,746.18
  5. Step 5: Solve for x
    x = 806,746.18/1,032.06
  6. Step 6: Final answer
    x = 781.69

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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.