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Finding the Fourth Proportional to 1,050.89, 1,577.03 and 401.60

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Solution

The fourth proportional to 1,050.89, 1,577.03 and 401.60 is: 602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.89 : 1,577.03 = 401.60 : x
  2. Step 2: Convert to fraction form
    1,050.89/1,577.03 = 401.60/x
  3. Step 3: Cross multiply
    1,050.89x = 1,577.03 × 401.60
  4. Step 4: Simplify right side
    1,050.89x = 633,325.35
  5. Step 5: Solve for x
    x = 633,325.35/1,050.89
  6. Step 6: Final answer
    x = 602.66

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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.