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Finding the Fourth Proportional to 685.42, 1,026.93 and 570.60

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Solution

The fourth proportional to 685.42, 1,026.93 and 570.60 is: 854.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.42 : 1,026.93 = 570.60 : x
  2. Step 2: Convert to fraction form
    685.42/1,026.93 = 570.60/x
  3. Step 3: Cross multiply
    685.42x = 1,026.93 × 570.60
  4. Step 4: Simplify right side
    685.42x = 585,966.26
  5. Step 5: Solve for x
    x = 585,966.26/685.42
  6. Step 6: Final answer
    x = 854.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.