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Finding the Fourth Proportional to 1,498.06, 2,245.76 and 805.10

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Solution

The fourth proportional to 1,498.06, 2,245.76 and 805.10 is: 1,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.06 : 2,245.76 = 805.10 : x
  2. Step 2: Convert to fraction form
    1,498.06/2,245.76 = 805.10/x
  3. Step 3: Cross multiply
    1,498.06x = 2,245.76 × 805.10
  4. Step 4: Simplify right side
    1,498.06x = 1,808,061.38
  5. Step 5: Solve for x
    x = 1,808,061.38/1,498.06
  6. Step 6: Final answer
    x = 1,206.94

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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.