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Finding the Fourth Proportional to 1,119.25, 1,544.55 and 647.14

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Solution

The fourth proportional to 1,119.25, 1,544.55 and 647.14 is: 893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.25 : 1,544.55 = 647.14 : x
  2. Step 2: Convert to fraction form
    1,119.25/1,544.55 = 647.14/x
  3. Step 3: Cross multiply
    1,119.25x = 1,544.55 × 647.14
  4. Step 4: Simplify right side
    1,119.25x = 999,532.36
  5. Step 5: Solve for x
    x = 999,532.36/1,119.25
  6. Step 6: Final answer
    x = 893.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.