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Finding the Fourth Proportional to 1,067.40, 1,472.76 and 601.56

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Solution

The fourth proportional to 1,067.40, 1,472.76 and 601.56 is: 830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.40 : 1,472.76 = 601.56 : x
  2. Step 2: Convert to fraction form
    1,067.40/1,472.76 = 601.56/x
  3. Step 3: Cross multiply
    1,067.40x = 1,472.76 × 601.56
  4. Step 4: Simplify right side
    1,067.40x = 885,953.51
  5. Step 5: Solve for x
    x = 885,953.51/1,067.40
  6. Step 6: Final answer
    x = 830.01

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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.