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Finding the Fourth Proportional to 1,106.66, 1,659.99 and 521.47

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Solution

The fourth proportional to 1,106.66, 1,659.99 and 521.47 is: 782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.66 : 1,659.99 = 521.47 : x
  2. Step 2: Convert to fraction form
    1,106.66/1,659.99 = 521.47/x
  3. Step 3: Cross multiply
    1,106.66x = 1,659.99 × 521.47
  4. Step 4: Simplify right side
    1,106.66x = 865,639.02
  5. Step 5: Solve for x
    x = 865,639.02/1,106.66
  6. Step 6: Final answer
    x = 782.21

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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.