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Finding the Fourth Proportional to 1,050.11, 1,575.06 and 494.69

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Solution

The fourth proportional to 1,050.11, 1,575.06 and 494.69 is: 741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.11 : 1,575.06 = 494.69 : x
  2. Step 2: Convert to fraction form
    1,050.11/1,575.06 = 494.69/x
  3. Step 3: Cross multiply
    1,050.11x = 1,575.06 × 494.69
  4. Step 4: Simplify right side
    1,050.11x = 779,158.56
  5. Step 5: Solve for x
    x = 779,158.56/1,050.11
  6. Step 6: Final answer
    x = 741.98

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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.