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Finding the Fourth Proportional to 1,101.59, 1,520.26 and 802.90

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Solution

The fourth proportional to 1,101.59, 1,520.26 and 802.90 is: 1,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.59 : 1,520.26 = 802.90 : x
  2. Step 2: Convert to fraction form
    1,101.59/1,520.26 = 802.90/x
  3. Step 3: Cross multiply
    1,101.59x = 1,520.26 × 802.90
  4. Step 4: Simplify right side
    1,101.59x = 1,220,616.75
  5. Step 5: Solve for x
    x = 1,220,616.75/1,101.59
  6. Step 6: Final answer
    x = 1,108.05

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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.