Home / 1,021.57-1,531.80-473.45

Finding the Fourth Proportional to 1,021.57, 1,531.80 and 473.45

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Solution

The fourth proportional to 1,021.57, 1,531.80 and 473.45 is: 709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.57 : 1,531.80 = 473.45 : x
  2. Step 2: Convert to fraction form
    1,021.57/1,531.80 = 473.45/x
  3. Step 3: Cross multiply
    1,021.57x = 1,531.80 × 473.45
  4. Step 4: Simplify right side
    1,021.57x = 725,228.34
  5. Step 5: Solve for x
    x = 725,228.34/1,021.57
  6. Step 6: Final answer
    x = 709.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.