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Finding the Fourth Proportional to 1,073.96, 1,610.53 and 457.34

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Solution

The fourth proportional to 1,073.96, 1,610.53 and 457.34 is: 685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.96 : 1,610.53 = 457.34 : x
  2. Step 2: Convert to fraction form
    1,073.96/1,610.53 = 457.34/x
  3. Step 3: Cross multiply
    1,073.96x = 1,610.53 × 457.34
  4. Step 4: Simplify right side
    1,073.96x = 736,557.50
  5. Step 5: Solve for x
    x = 736,557.50/1,073.96
  6. Step 6: Final answer
    x = 685.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.