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Finding the Fourth Proportional to 1,005.82, 1,507.36 and 567.28

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Solution

The fourth proportional to 1,005.82, 1,507.36 and 567.28 is: 850.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.82 : 1,507.36 = 567.28 : x
  2. Step 2: Convert to fraction form
    1,005.82/1,507.36 = 567.28/x
  3. Step 3: Cross multiply
    1,005.82x = 1,507.36 × 567.28
  4. Step 4: Simplify right side
    1,005.82x = 855,095.18
  5. Step 5: Solve for x
    x = 855,095.18/1,005.82
  6. Step 6: Final answer
    x = 850.15

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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.