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Finding the Fourth Proportional to 1,508.30, 2,262.42 and 777.45

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Solution

The fourth proportional to 1,508.30, 2,262.42 and 777.45 is: 1,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.30 : 2,262.42 = 777.45 : x
  2. Step 2: Convert to fraction form
    1,508.30/2,262.42 = 777.45/x
  3. Step 3: Cross multiply
    1,508.30x = 2,262.42 × 777.45
  4. Step 4: Simplify right side
    1,508.30x = 1,758,918.43
  5. Step 5: Solve for x
    x = 1,758,918.43/1,508.30
  6. Step 6: Final answer
    x = 1,166.16

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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.