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Finding the Fourth Proportional to 914.64, 1,261.98 and 619.80

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Solution

The fourth proportional to 914.64, 1,261.98 and 619.80 is: 855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.64 : 1,261.98 = 619.80 : x
  2. Step 2: Convert to fraction form
    914.64/1,261.98 = 619.80/x
  3. Step 3: Cross multiply
    914.64x = 1,261.98 × 619.80
  4. Step 4: Simplify right side
    914.64x = 782,175.20
  5. Step 5: Solve for x
    x = 782,175.20/914.64
  6. Step 6: Final answer
    x = 855.17

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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.