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Finding the Fourth Proportional to 1,510.17, 2,264.77 and 536.55

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Solution

The fourth proportional to 1,510.17, 2,264.77 and 536.55 is: 804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.17 : 2,264.77 = 536.55 : x
  2. Step 2: Convert to fraction form
    1,510.17/2,264.77 = 536.55/x
  3. Step 3: Cross multiply
    1,510.17x = 2,264.77 × 536.55
  4. Step 4: Simplify right side
    1,510.17x = 1,215,162.34
  5. Step 5: Solve for x
    x = 1,215,162.34/1,510.17
  6. Step 6: Final answer
    x = 804.65

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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.