Home / 1,027.14-1,417.49-585.07

Finding the Fourth Proportional to 1,027.14, 1,417.49 and 585.07

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Solution

The fourth proportional to 1,027.14, 1,417.49 and 585.07 is: 807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.14 : 1,417.49 = 585.07 : x
  2. Step 2: Convert to fraction form
    1,027.14/1,417.49 = 585.07/x
  3. Step 3: Cross multiply
    1,027.14x = 1,417.49 × 585.07
  4. Step 4: Simplify right side
    1,027.14x = 829,330.87
  5. Step 5: Solve for x
    x = 829,330.87/1,027.14
  6. Step 6: Final answer
    x = 807.42

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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.