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Finding the Fourth Proportional to 1,056.75, 1,586.13 and 807.63

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Solution

The fourth proportional to 1,056.75, 1,586.13 and 807.63 is: 1,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.75 : 1,586.13 = 807.63 : x
  2. Step 2: Convert to fraction form
    1,056.75/1,586.13 = 807.63/x
  3. Step 3: Cross multiply
    1,056.75x = 1,586.13 × 807.63
  4. Step 4: Simplify right side
    1,056.75x = 1,281,006.17
  5. Step 5: Solve for x
    x = 1,281,006.17/1,056.75
  6. Step 6: Final answer
    x = 1,212.21

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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.