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Finding the Fourth Proportional to 1,026.48, 1,416.10 and 627.82

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Solution

The fourth proportional to 1,026.48, 1,416.10 and 627.82 is: 866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.48 : 1,416.10 = 627.82 : x
  2. Step 2: Convert to fraction form
    1,026.48/1,416.10 = 627.82/x
  3. Step 3: Cross multiply
    1,026.48x = 1,416.10 × 627.82
  4. Step 4: Simplify right side
    1,026.48x = 889,055.90
  5. Step 5: Solve for x
    x = 889,055.90/1,026.48
  6. Step 6: Final answer
    x = 866.12

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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.