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Finding the Fourth Proportional to 1,057.33, 1,458.76 and 684.78

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Solution

The fourth proportional to 1,057.33, 1,458.76 and 684.78 is: 944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.33 : 1,458.76 = 684.78 : x
  2. Step 2: Convert to fraction form
    1,057.33/1,458.76 = 684.78/x
  3. Step 3: Cross multiply
    1,057.33x = 1,458.76 × 684.78
  4. Step 4: Simplify right side
    1,057.33x = 998,929.67
  5. Step 5: Solve for x
    x = 998,929.67/1,057.33
  6. Step 6: Final answer
    x = 944.77

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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.