Home / 1,020.96-1,531.98-473.40

Finding the Fourth Proportional to 1,020.96, 1,531.98 and 473.40

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Solution

The fourth proportional to 1,020.96, 1,531.98 and 473.40 is: 710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.96 : 1,531.98 = 473.40 : x
  2. Step 2: Convert to fraction form
    1,020.96/1,531.98 = 473.40/x
  3. Step 3: Cross multiply
    1,020.96x = 1,531.98 × 473.40
  4. Step 4: Simplify right side
    1,020.96x = 725,239.33
  5. Step 5: Solve for x
    x = 725,239.33/1,020.96
  6. Step 6: Final answer
    x = 710.35

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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.