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Finding the Fourth Proportional to 1,368.46, 1,888.48 and 747.46

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Solution

The fourth proportional to 1,368.46, 1,888.48 and 747.46 is: 1,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.46 : 1,888.48 = 747.46 : x
  2. Step 2: Convert to fraction form
    1,368.46/1,888.48 = 747.46/x
  3. Step 3: Cross multiply
    1,368.46x = 1,888.48 × 747.46
  4. Step 4: Simplify right side
    1,368.46x = 1,411,563.26
  5. Step 5: Solve for x
    x = 1,411,563.26/1,368.46
  6. Step 6: Final answer
    x = 1,031.50

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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.