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Finding the Fourth Proportional to 1,576.95, 2,365.81 and 536.94

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Solution

The fourth proportional to 1,576.95, 2,365.81 and 536.94 is: 805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.95 : 2,365.81 = 536.94 : x
  2. Step 2: Convert to fraction form
    1,576.95/2,365.81 = 536.94/x
  3. Step 3: Cross multiply
    1,576.95x = 2,365.81 × 536.94
  4. Step 4: Simplify right side
    1,576.95x = 1,270,305.28
  5. Step 5: Solve for x
    x = 1,270,305.28/1,576.95
  6. Step 6: Final answer
    x = 805.55

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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.