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Finding the Fourth Proportional to 1,050.96, 1,445.16 and 934.32

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Solution

The fourth proportional to 1,050.96, 1,445.16 and 934.32 is: 1,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.96 : 1,445.16 = 934.32 : x
  2. Step 2: Convert to fraction form
    1,050.96/1,445.16 = 934.32/x
  3. Step 3: Cross multiply
    1,050.96x = 1,445.16 × 934.32
  4. Step 4: Simplify right side
    1,050.96x = 1,350,241.89
  5. Step 5: Solve for x
    x = 1,350,241.89/1,050.96
  6. Step 6: Final answer
    x = 1,284.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.