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Finding the Fourth Proportional to 1,160.79, 1,741.15 and 295.10

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Solution

The fourth proportional to 1,160.79, 1,741.15 and 295.10 is: 442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.79 : 1,741.15 = 295.10 : x
  2. Step 2: Convert to fraction form
    1,160.79/1,741.15 = 295.10/x
  3. Step 3: Cross multiply
    1,160.79x = 1,741.15 × 295.10
  4. Step 4: Simplify right side
    1,160.79x = 513,813.37
  5. Step 5: Solve for x
    x = 513,813.37/1,160.79
  6. Step 6: Final answer
    x = 442.64

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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.