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Finding the Fourth Proportional to 1,005.64, 1,507.44 and 571.88

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Solution

The fourth proportional to 1,005.64, 1,507.44 and 571.88 is: 857.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.64 : 1,507.44 = 571.88 : x
  2. Step 2: Convert to fraction form
    1,005.64/1,507.44 = 571.88/x
  3. Step 3: Cross multiply
    1,005.64x = 1,507.44 × 571.88
  4. Step 4: Simplify right side
    1,005.64x = 862,074.79
  5. Step 5: Solve for x
    x = 862,074.79/1,005.64
  6. Step 6: Final answer
    x = 857.24

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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.