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Finding the Fourth Proportional to 1,470.20, 2,206.64 and 740.25

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Solution

The fourth proportional to 1,470.20, 2,206.64 and 740.25 is: 1,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.20 : 2,206.64 = 740.25 : x
  2. Step 2: Convert to fraction form
    1,470.20/2,206.64 = 740.25/x
  3. Step 3: Cross multiply
    1,470.20x = 2,206.64 × 740.25
  4. Step 4: Simplify right side
    1,470.20x = 1,633,467.11
  5. Step 5: Solve for x
    x = 1,633,467.11/1,470.20
  6. Step 6: Final answer
    x = 1,111.05

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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.