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Finding the Fourth Proportional to 1,026.14, 1,416.03 and 578.00

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Solution

The fourth proportional to 1,026.14, 1,416.03 and 578.00 is: 797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.14 : 1,416.03 = 578.00 : x
  2. Step 2: Convert to fraction form
    1,026.14/1,416.03 = 578.00/x
  3. Step 3: Cross multiply
    1,026.14x = 1,416.03 × 578.00
  4. Step 4: Simplify right side
    1,026.14x = 818,456.09
  5. Step 5: Solve for x
    x = 818,456.09/1,026.14
  6. Step 6: Final answer
    x = 797.61

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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.