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Finding the Fourth Proportional to 1,012.36, 1,397.02 and 570.25

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Solution

The fourth proportional to 1,012.36, 1,397.02 and 570.25 is: 786.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.36 : 1,397.02 = 570.25 : x
  2. Step 2: Convert to fraction form
    1,012.36/1,397.02 = 570.25/x
  3. Step 3: Cross multiply
    1,012.36x = 1,397.02 × 570.25
  4. Step 4: Simplify right side
    1,012.36x = 796,650.66
  5. Step 5: Solve for x
    x = 796,650.66/1,012.36
  6. Step 6: Final answer
    x = 786.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.