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Finding the Fourth Proportional to 1,510.23, 2,265.65 and 536.41

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Solution

The fourth proportional to 1,510.23, 2,265.65 and 536.41 is: 804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.23 : 2,265.65 = 536.41 : x
  2. Step 2: Convert to fraction form
    1,510.23/2,265.65 = 536.41/x
  3. Step 3: Cross multiply
    1,510.23x = 2,265.65 × 536.41
  4. Step 4: Simplify right side
    1,510.23x = 1,215,317.32
  5. Step 5: Solve for x
    x = 1,215,317.32/1,510.23
  6. Step 6: Final answer
    x = 804.72

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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.