Home / 1,027.09-1,417.25-584.93

Finding the Fourth Proportional to 1,027.09, 1,417.25 and 584.93

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Solution

The fourth proportional to 1,027.09, 1,417.25 and 584.93 is: 807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.09 : 1,417.25 = 584.93 : x
  2. Step 2: Convert to fraction form
    1,027.09/1,417.25 = 584.93/x
  3. Step 3: Cross multiply
    1,027.09x = 1,417.25 × 584.93
  4. Step 4: Simplify right side
    1,027.09x = 828,997.05
  5. Step 5: Solve for x
    x = 828,997.05/1,027.09
  6. Step 6: Final answer
    x = 807.13

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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.