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Finding the Fourth Proportional to 1,008.96, 1,512.82 and 570.01

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Solution

The fourth proportional to 1,008.96, 1,512.82 and 570.01 is: 854.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.96 : 1,512.82 = 570.01 : x
  2. Step 2: Convert to fraction form
    1,008.96/1,512.82 = 570.01/x
  3. Step 3: Cross multiply
    1,008.96x = 1,512.82 × 570.01
  4. Step 4: Simplify right side
    1,008.96x = 862,322.53
  5. Step 5: Solve for x
    x = 862,322.53/1,008.96
  6. Step 6: Final answer
    x = 854.66

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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.