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Finding the Fourth Proportional to 1,471.39, 2,030.95 and 842.28

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Solution

The fourth proportional to 1,471.39, 2,030.95 and 842.28 is: 1,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.39 : 2,030.95 = 842.28 : x
  2. Step 2: Convert to fraction form
    1,471.39/2,030.95 = 842.28/x
  3. Step 3: Cross multiply
    1,471.39x = 2,030.95 × 842.28
  4. Step 4: Simplify right side
    1,471.39x = 1,710,628.57
  5. Step 5: Solve for x
    x = 1,710,628.57/1,471.39
  6. Step 6: Final answer
    x = 1,162.59

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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.