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Finding the Fourth Proportional to 1,026.88, 1,416.40 and 779.16

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Solution

The fourth proportional to 1,026.88, 1,416.40 and 779.16 is: 1,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.88 : 1,416.40 = 779.16 : x
  2. Step 2: Convert to fraction form
    1,026.88/1,416.40 = 779.16/x
  3. Step 3: Cross multiply
    1,026.88x = 1,416.40 × 779.16
  4. Step 4: Simplify right side
    1,026.88x = 1,103,602.22
  5. Step 5: Solve for x
    x = 1,103,602.22/1,026.88
  6. Step 6: Final answer
    x = 1,074.71

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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.