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Finding the Fourth Proportional to 1,012.02, 1,396.62 and 569.91

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Solution

The fourth proportional to 1,012.02, 1,396.62 and 569.91 is: 786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.02 : 1,396.62 = 569.91 : x
  2. Step 2: Convert to fraction form
    1,012.02/1,396.62 = 569.91/x
  3. Step 3: Cross multiply
    1,012.02x = 1,396.62 × 569.91
  4. Step 4: Simplify right side
    1,012.02x = 795,947.70
  5. Step 5: Solve for x
    x = 795,947.70/1,012.02
  6. Step 6: Final answer
    x = 786.49

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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.