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Finding the Fourth Proportional to 1,089.48, 1,636.32 and 933.66

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Solution

The fourth proportional to 1,089.48, 1,636.32 and 933.66 is: 1,402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.48 : 1,636.32 = 933.66 : x
  2. Step 2: Convert to fraction form
    1,089.48/1,636.32 = 933.66/x
  3. Step 3: Cross multiply
    1,089.48x = 1,636.32 × 933.66
  4. Step 4: Simplify right side
    1,089.48x = 1,527,760.40
  5. Step 5: Solve for x
    x = 1,527,760.40/1,089.48
  6. Step 6: Final answer
    x = 1,402.28

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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.