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Finding the Fourth Proportional to 1,401.07, 1,933.47 and 803.55

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Solution

The fourth proportional to 1,401.07, 1,933.47 and 803.55 is: 1,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.07 : 1,933.47 = 803.55 : x
  2. Step 2: Convert to fraction form
    1,401.07/1,933.47 = 803.55/x
  3. Step 3: Cross multiply
    1,401.07x = 1,933.47 × 803.55
  4. Step 4: Simplify right side
    1,401.07x = 1,553,630.76
  5. Step 5: Solve for x
    x = 1,553,630.76/1,401.07
  6. Step 6: Final answer
    x = 1,108.89

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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.