Home / 1,027.15-1,417.41-585.06

Finding the Fourth Proportional to 1,027.15, 1,417.41 and 585.06

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Solution

The fourth proportional to 1,027.15, 1,417.41 and 585.06 is: 807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.15 : 1,417.41 = 585.06 : x
  2. Step 2: Convert to fraction form
    1,027.15/1,417.41 = 585.06/x
  3. Step 3: Cross multiply
    1,027.15x = 1,417.41 × 585.06
  4. Step 4: Simplify right side
    1,027.15x = 829,262.81
  5. Step 5: Solve for x
    x = 829,262.81/1,027.15
  6. Step 6: Final answer
    x = 807.34

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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.