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Finding the Fourth Proportional to 1,471.57, 2,030.19 and 841.76

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Solution

The fourth proportional to 1,471.57, 2,030.19 and 841.76 is: 1,161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.57 : 2,030.19 = 841.76 : x
  2. Step 2: Convert to fraction form
    1,471.57/2,030.19 = 841.76/x
  3. Step 3: Cross multiply
    1,471.57x = 2,030.19 × 841.76
  4. Step 4: Simplify right side
    1,471.57x = 1,708,925.55
  5. Step 5: Solve for x
    x = 1,708,925.55/1,471.57
  6. Step 6: Final answer
    x = 1,161.30

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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.