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Finding the Fourth Proportional to 1,264.53, 1,897.98 and 778.53

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Solution

The fourth proportional to 1,264.53, 1,897.98 and 778.53 is: 1,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.53 : 1,897.98 = 778.53 : x
  2. Step 2: Convert to fraction form
    1,264.53/1,897.98 = 778.53/x
  3. Step 3: Cross multiply
    1,264.53x = 1,897.98 × 778.53
  4. Step 4: Simplify right side
    1,264.53x = 1,477,634.37
  5. Step 5: Solve for x
    x = 1,477,634.37/1,264.53
  6. Step 6: Final answer
    x = 1,168.52

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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.