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Finding the Fourth Proportional to 1,050.66, 1,575.07 and 401.85

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Solution

The fourth proportional to 1,050.66, 1,575.07 and 401.85 is: 602.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.66 : 1,575.07 = 401.85 : x
  2. Step 2: Convert to fraction form
    1,050.66/1,575.07 = 401.85/x
  3. Step 3: Cross multiply
    1,050.66x = 1,575.07 × 401.85
  4. Step 4: Simplify right side
    1,050.66x = 632,931.99
  5. Step 5: Solve for x
    x = 632,931.99/1,050.66
  6. Step 6: Final answer
    x = 602.42

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