Home / 1,430.51-1,974.42-841.14

Finding the Fourth Proportional to 1,430.51, 1,974.42 and 841.14

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Solution

The fourth proportional to 1,430.51, 1,974.42 and 841.14 is: 1,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.51 : 1,974.42 = 841.14 : x
  2. Step 2: Convert to fraction form
    1,430.51/1,974.42 = 841.14/x
  3. Step 3: Cross multiply
    1,430.51x = 1,974.42 × 841.14
  4. Step 4: Simplify right side
    1,430.51x = 1,660,763.64
  5. Step 5: Solve for x
    x = 1,660,763.64/1,430.51
  6. Step 6: Final answer
    x = 1,160.96

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1.5x scale

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.