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Finding the Fourth Proportional to 1,094.59, 1,641.91 and 401.77

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Solution

The fourth proportional to 1,094.59, 1,641.91 and 401.77 is: 602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.59 : 1,641.91 = 401.77 : x
  2. Step 2: Convert to fraction form
    1,094.59/1,641.91 = 401.77/x
  3. Step 3: Cross multiply
    1,094.59x = 1,641.91 × 401.77
  4. Step 4: Simplify right side
    1,094.59x = 659,670.18
  5. Step 5: Solve for x
    x = 659,670.18/1,094.59
  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.