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Finding the Fourth Proportional to 1,430.82, 1,974.24 and 841.14

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Solution

The fourth proportional to 1,430.82, 1,974.24 and 841.14 is: 1,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.82 : 1,974.24 = 841.14 : x
  2. Step 2: Convert to fraction form
    1,430.82/1,974.24 = 841.14/x
  3. Step 3: Cross multiply
    1,430.82x = 1,974.24 × 841.14
  4. Step 4: Simplify right side
    1,430.82x = 1,660,612.23
  5. Step 5: Solve for x
    x = 1,660,612.23/1,430.82
  6. Step 6: Final answer
    x = 1,160.60

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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.