Home / 1,029.81-1,421.28-631.71

Finding the Fourth Proportional to 1,029.81, 1,421.28 and 631.71

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Solution

The fourth proportional to 1,029.81, 1,421.28 and 631.71 is: 871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.81 : 1,421.28 = 631.71 : x
  2. Step 2: Convert to fraction form
    1,029.81/1,421.28 = 631.71/x
  3. Step 3: Cross multiply
    1,029.81x = 1,421.28 × 631.71
  4. Step 4: Simplify right side
    1,029.81x = 897,826.52
  5. Step 5: Solve for x
    x = 897,826.52/1,029.81
  6. Step 6: Final answer
    x = 871.84

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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.