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Finding the Fourth Proportional to 1,026.84, 1,416.99 and 561.09

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Solution

The fourth proportional to 1,026.84, 1,416.99 and 561.09 is: 774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.84 : 1,416.99 = 561.09 : x
  2. Step 2: Convert to fraction form
    1,026.84/1,416.99 = 561.09/x
  3. Step 3: Cross multiply
    1,026.84x = 1,416.99 × 561.09
  4. Step 4: Simplify right side
    1,026.84x = 795,058.92
  5. Step 5: Solve for x
    x = 795,058.92/1,026.84
  6. Step 6: Final answer
    x = 774.28

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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.