Home / 1,026.06-1,416.15-584.16

Finding the Fourth Proportional to 1,026.06, 1,416.15 and 584.16

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Solution

The fourth proportional to 1,026.06, 1,416.15 and 584.16 is: 806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.06 : 1,416.15 = 584.16 : x
  2. Step 2: Convert to fraction form
    1,026.06/1,416.15 = 584.16/x
  3. Step 3: Cross multiply
    1,026.06x = 1,416.15 × 584.16
  4. Step 4: Simplify right side
    1,026.06x = 827,258.18
  5. Step 5: Solve for x
    x = 827,258.18/1,026.06
  6. Step 6: Final answer
    x = 806.25

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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.