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Finding the Fourth Proportional to 1,056.88, 1,591.78 and 802.16

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Solution

The fourth proportional to 1,056.88, 1,591.78 and 802.16 is: 1,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.88 : 1,591.78 = 802.16 : x
  2. Step 2: Convert to fraction form
    1,056.88/1,591.78 = 802.16/x
  3. Step 3: Cross multiply
    1,056.88x = 1,591.78 × 802.16
  4. Step 4: Simplify right side
    1,056.88x = 1,276,862.24
  5. Step 5: Solve for x
    x = 1,276,862.24/1,056.88
  6. Step 6: Final answer
    x = 1,208.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.