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Finding the Fourth Proportional to 1,057.51, 1,458.46 and 742.67

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Solution

The fourth proportional to 1,057.51, 1,458.46 and 742.67 is: 1,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.51 : 1,458.46 = 742.67 : x
  2. Step 2: Convert to fraction form
    1,057.51/1,458.46 = 742.67/x
  3. Step 3: Cross multiply
    1,057.51x = 1,458.46 × 742.67
  4. Step 4: Simplify right side
    1,057.51x = 1,083,149.42
  5. Step 5: Solve for x
    x = 1,083,149.42/1,057.51
  6. Step 6: Final answer
    x = 1,024.25

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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.