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Finding the Fourth Proportional to 1,534.55, 2,297.70 and 802.64

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Solution

The fourth proportional to 1,534.55, 2,297.70 and 802.64 is: 1,201.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.55 : 2,297.70 = 802.64 : x
  2. Step 2: Convert to fraction form
    1,534.55/2,297.70 = 802.64/x
  3. Step 3: Cross multiply
    1,534.55x = 2,297.70 × 802.64
  4. Step 4: Simplify right side
    1,534.55x = 1,844,231.67
  5. Step 5: Solve for x
    x = 1,844,231.67/1,534.55
  6. Step 6: Final answer
    x = 1,201.81

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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.