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Finding the Fourth Proportional to 1,010.90, 1,395.14 and 568.84

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Solution

The fourth proportional to 1,010.90, 1,395.14 and 568.84 is: 785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.90 : 1,395.14 = 568.84 : x
  2. Step 2: Convert to fraction form
    1,010.90/1,395.14 = 568.84/x
  3. Step 3: Cross multiply
    1,010.90x = 1,395.14 × 568.84
  4. Step 4: Simplify right side
    1,010.90x = 793,611.44
  5. Step 5: Solve for x
    x = 793,611.44/1,010.90
  6. Step 6: Final answer
    x = 785.05

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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.