Home / 1,430.71-1,974.30-841.03

Finding the Fourth Proportional to 1,430.71, 1,974.30 and 841.03

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Solution

The fourth proportional to 1,430.71, 1,974.30 and 841.03 is: 1,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.71 : 1,974.30 = 841.03 : x
  2. Step 2: Convert to fraction form
    1,430.71/1,974.30 = 841.03/x
  3. Step 3: Cross multiply
    1,430.71x = 1,974.30 × 841.03
  4. Step 4: Simplify right side
    1,430.71x = 1,660,445.53
  5. Step 5: Solve for x
    x = 1,660,445.53/1,430.71
  6. Step 6: Final answer
    x = 1,160.57

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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.