Home / 1,026.97-1,417.36-584.91

Finding the Fourth Proportional to 1,026.97, 1,417.36 and 584.91

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Solution

The fourth proportional to 1,026.97, 1,417.36 and 584.91 is: 807.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.97 : 1,417.36 = 584.91 : x
  2. Step 2: Convert to fraction form
    1,026.97/1,417.36 = 584.91/x
  3. Step 3: Cross multiply
    1,026.97x = 1,417.36 × 584.91
  4. Step 4: Simplify right side
    1,026.97x = 829,025.01
  5. Step 5: Solve for x
    x = 829,025.01/1,026.97
  6. Step 6: Final answer
    x = 807.26

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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.