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Finding the Fourth Proportional to 1,005.02, 1,507.59 and 571.34

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Solution

The fourth proportional to 1,005.02, 1,507.59 and 571.34 is: 857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.02 : 1,507.59 = 571.34 : x
  2. Step 2: Convert to fraction form
    1,005.02/1,507.59 = 571.34/x
  3. Step 3: Cross multiply
    1,005.02x = 1,507.59 × 571.34
  4. Step 4: Simplify right side
    1,005.02x = 861,346.47
  5. Step 5: Solve for x
    x = 861,346.47/1,005.02
  6. Step 6: Final answer
    x = 857.04

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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.