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Finding the Fourth Proportional to 1,471.32, 2,030.35 and 841.78

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Solution

The fourth proportional to 1,471.32, 2,030.35 and 841.78 is: 1,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.32 : 2,030.35 = 841.78 : x
  2. Step 2: Convert to fraction form
    1,471.32/2,030.35 = 841.78/x
  3. Step 3: Cross multiply
    1,471.32x = 2,030.35 × 841.78
  4. Step 4: Simplify right side
    1,471.32x = 1,709,108.02
  5. Step 5: Solve for x
    x = 1,709,108.02/1,471.32
  6. Step 6: Final answer
    x = 1,161.62

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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.