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Finding the Fourth Proportional to 1,510.32, 2,265.42 and 536.44

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Solution

The fourth proportional to 1,510.32, 2,265.42 and 536.44 is: 804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.32 : 2,265.42 = 536.44 : x
  2. Step 2: Convert to fraction form
    1,510.32/2,265.42 = 536.44/x
  3. Step 3: Cross multiply
    1,510.32x = 2,265.42 × 536.44
  4. Step 4: Simplify right side
    1,510.32x = 1,215,261.90
  5. Step 5: Solve for x
    x = 1,215,261.90/1,510.32
  6. Step 6: Final answer
    x = 804.64

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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.