Home / 1,027.15-1,417.54-585.09

Finding the Fourth Proportional to 1,027.15, 1,417.54 and 585.09

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Solution

The fourth proportional to 1,027.15, 1,417.54 and 585.09 is: 807.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.15 : 1,417.54 = 585.09 : x
  2. Step 2: Convert to fraction form
    1,027.15/1,417.54 = 585.09/x
  3. Step 3: Cross multiply
    1,027.15x = 1,417.54 × 585.09
  4. Step 4: Simplify right side
    1,027.15x = 829,388.48
  5. Step 5: Solve for x
    x = 829,388.48/1,027.15
  6. Step 6: Final answer
    x = 807.47

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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.