Home / 1,026.16-1,415.94-583.96

Finding the Fourth Proportional to 1,026.16, 1,415.94 and 583.96

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Solution

The fourth proportional to 1,026.16, 1,415.94 and 583.96 is: 805.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.16 : 1,415.94 = 583.96 : x
  2. Step 2: Convert to fraction form
    1,026.16/1,415.94 = 583.96/x
  3. Step 3: Cross multiply
    1,026.16x = 1,415.94 × 583.96
  4. Step 4: Simplify right side
    1,026.16x = 826,852.32
  5. Step 5: Solve for x
    x = 826,852.32/1,026.16
  6. Step 6: Final answer
    x = 805.77

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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.