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Finding the Fourth Proportional to 1,120.29, 1,545.77 and 678.22

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Solution

The fourth proportional to 1,120.29, 1,545.77 and 678.22 is: 935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.29 : 1,545.77 = 678.22 : x
  2. Step 2: Convert to fraction form
    1,120.29/1,545.77 = 678.22/x
  3. Step 3: Cross multiply
    1,120.29x = 1,545.77 × 678.22
  4. Step 4: Simplify right side
    1,120.29x = 1,048,372.13
  5. Step 5: Solve for x
    x = 1,048,372.13/1,120.29
  6. Step 6: Final answer
    x = 935.80

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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.