Home / 1,027.19-1,417.36-585.11

Finding the Fourth Proportional to 1,027.19, 1,417.36 and 585.11

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Solution

The fourth proportional to 1,027.19, 1,417.36 and 585.11 is: 807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.19 : 1,417.36 = 585.11 : x
  2. Step 2: Convert to fraction form
    1,027.19/1,417.36 = 585.11/x
  3. Step 3: Cross multiply
    1,027.19x = 1,417.36 × 585.11
  4. Step 4: Simplify right side
    1,027.19x = 829,301.50
  5. Step 5: Solve for x
    x = 829,301.50/1,027.19
  6. Step 6: Final answer
    x = 807.35

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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.