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Finding the Fourth Proportional to 1,368.52, 1,888.52 and 747.52

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Solution

The fourth proportional to 1,368.52, 1,888.52 and 747.52 is: 1,031.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.52 : 1,888.52 = 747.52 : x
  2. Step 2: Convert to fraction form
    1,368.52/1,888.52 = 747.52/x
  3. Step 3: Cross multiply
    1,368.52x = 1,888.52 × 747.52
  4. Step 4: Simplify right side
    1,368.52x = 1,411,706.47
  5. Step 5: Solve for x
    x = 1,411,706.47/1,368.52
  6. Step 6: Final answer
    x = 1,031.56

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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.