Home / 1,027.35-1,417.79-585.29

Finding the Fourth Proportional to 1,027.35, 1,417.79 and 585.29

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Solution

The fourth proportional to 1,027.35, 1,417.79 and 585.29 is: 807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.35 : 1,417.79 = 585.29 : x
  2. Step 2: Convert to fraction form
    1,027.35/1,417.79 = 585.29/x
  3. Step 3: Cross multiply
    1,027.35x = 1,417.79 × 585.29
  4. Step 4: Simplify right side
    1,027.35x = 829,808.29
  5. Step 5: Solve for x
    x = 829,808.29/1,027.35
  6. Step 6: Final answer
    x = 807.72

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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.