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Finding the Fourth Proportional to 1,395.18, 2,091.99 and 470.25

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Solution

The fourth proportional to 1,395.18, 2,091.99 and 470.25 is: 705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.18 : 2,091.99 = 470.25 : x
  2. Step 2: Convert to fraction form
    1,395.18/2,091.99 = 470.25/x
  3. Step 3: Cross multiply
    1,395.18x = 2,091.99 × 470.25
  4. Step 4: Simplify right side
    1,395.18x = 983,758.30
  5. Step 5: Solve for x
    x = 983,758.30/1,395.18
  6. Step 6: Final answer
    x = 705.11

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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.