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Finding the Fourth Proportional to 1,312.53, 1,968.21 and 387.77

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Solution

The fourth proportional to 1,312.53, 1,968.21 and 387.77 is: 581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.53 : 1,968.21 = 387.77 : x
  2. Step 2: Convert to fraction form
    1,312.53/1,968.21 = 387.77/x
  3. Step 3: Cross multiply
    1,312.53x = 1,968.21 × 387.77
  4. Step 4: Simplify right side
    1,312.53x = 763,201.01
  5. Step 5: Solve for x
    x = 763,201.01/1,312.53
  6. Step 6: Final answer
    x = 581.47

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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.