Home / 1,023.75-1,412.96-631.04

Finding the Fourth Proportional to 1,023.75, 1,412.96 and 631.04

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Solution

The fourth proportional to 1,023.75, 1,412.96 and 631.04 is: 870.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.75 : 1,412.96 = 631.04 : x
  2. Step 2: Convert to fraction form
    1,023.75/1,412.96 = 631.04/x
  3. Step 3: Cross multiply
    1,023.75x = 1,412.96 × 631.04
  4. Step 4: Simplify right side
    1,023.75x = 891,624.06
  5. Step 5: Solve for x
    x = 891,624.06/1,023.75
  6. Step 6: Final answer
    x = 870.94

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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.