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Finding the Fourth Proportional to 1,401.13, 2,101.71 and 476.70

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Solution

The fourth proportional to 1,401.13, 2,101.71 and 476.70 is: 715.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.13 : 2,101.71 = 476.70 : x
  2. Step 2: Convert to fraction form
    1,401.13/2,101.71 = 476.70/x
  3. Step 3: Cross multiply
    1,401.13x = 2,101.71 × 476.70
  4. Step 4: Simplify right side
    1,401.13x = 1,001,882.77
  5. Step 5: Solve for x
    x = 1,001,882.77/1,401.13
  6. Step 6: Final answer
    x = 715.05

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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.