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Finding the Fourth Proportional to 1,074.04, 1,610.24 and 457.36

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Solution

The fourth proportional to 1,074.04, 1,610.24 and 457.36 is: 685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.04 : 1,610.24 = 457.36 : x
  2. Step 2: Convert to fraction form
    1,074.04/1,610.24 = 457.36/x
  3. Step 3: Cross multiply
    1,074.04x = 1,610.24 × 457.36
  4. Step 4: Simplify right side
    1,074.04x = 736,459.37
  5. Step 5: Solve for x
    x = 736,459.37/1,074.04
  6. Step 6: Final answer
    x = 685.69

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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.