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Finding the Fourth Proportional to 1,042.92, 1,567.26 and 530.28

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Solution

The fourth proportional to 1,042.92, 1,567.26 and 530.28 is: 796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.92 : 1,567.26 = 530.28 : x
  2. Step 2: Convert to fraction form
    1,042.92/1,567.26 = 530.28/x
  3. Step 3: Cross multiply
    1,042.92x = 1,567.26 × 530.28
  4. Step 4: Simplify right side
    1,042.92x = 831,086.63
  5. Step 5: Solve for x
    x = 831,086.63/1,042.92
  6. Step 6: Final answer
    x = 796.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.