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Finding the Fourth Proportional to 1,132.86, 1,697.41 and 802.16

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Solution

The fourth proportional to 1,132.86, 1,697.41 and 802.16 is: 1,201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.86 : 1,697.41 = 802.16 : x
  2. Step 2: Convert to fraction form
    1,132.86/1,697.41 = 802.16/x
  3. Step 3: Cross multiply
    1,132.86x = 1,697.41 × 802.16
  4. Step 4: Simplify right side
    1,132.86x = 1,361,596.64
  5. Step 5: Solve for x
    x = 1,361,596.64/1,132.86
  6. Step 6: Final answer
    x = 1,201.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.