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Finding the Fourth Proportional to 1,208.48, 1,810.20 and 774.32

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Solution

The fourth proportional to 1,208.48, 1,810.20 and 774.32 is: 1,159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.48 : 1,810.20 = 774.32 : x
  2. Step 2: Convert to fraction form
    1,208.48/1,810.20 = 774.32/x
  3. Step 3: Cross multiply
    1,208.48x = 1,810.20 × 774.32
  4. Step 4: Simplify right side
    1,208.48x = 1,401,674.06
  5. Step 5: Solve for x
    x = 1,401,674.06/1,208.48
  6. Step 6: Final answer
    x = 1,159.87

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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.