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Finding the Fourth Proportional to 1,350.40, 1,862.82 and 956.76

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Solution

The fourth proportional to 1,350.40, 1,862.82 and 956.76 is: 1,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.40 : 1,862.82 = 956.76 : x
  2. Step 2: Convert to fraction form
    1,350.40/1,862.82 = 956.76/x
  3. Step 3: Cross multiply
    1,350.40x = 1,862.82 × 956.76
  4. Step 4: Simplify right side
    1,350.40x = 1,782,271.66
  5. Step 5: Solve for x
    x = 1,782,271.66/1,350.40
  6. Step 6: Final answer
    x = 1,319.81

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Half scale
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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.