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Finding the Fourth Proportional to 1,368.25, 1,888.19 and 747.25

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Solution

The fourth proportional to 1,368.25, 1,888.19 and 747.25 is: 1,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.25 : 1,888.19 = 747.25 : x
  2. Step 2: Convert to fraction form
    1,368.25/1,888.19 = 747.25/x
  3. Step 3: Cross multiply
    1,368.25x = 1,888.19 × 747.25
  4. Step 4: Simplify right side
    1,368.25x = 1,410,946.24
  5. Step 5: Solve for x
    x = 1,410,946.24/1,368.25
  6. Step 6: Final answer
    x = 1,031.21

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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.