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Finding the Fourth Proportional to 1,010.67, 1,395.53 and 656.76

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Solution

The fourth proportional to 1,010.67, 1,395.53 and 656.76 is: 906.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.67 : 1,395.53 = 656.76 : x
  2. Step 2: Convert to fraction form
    1,010.67/1,395.53 = 656.76/x
  3. Step 3: Cross multiply
    1,010.67x = 1,395.53 × 656.76
  4. Step 4: Simplify right side
    1,010.67x = 916,528.28
  5. Step 5: Solve for x
    x = 916,528.28/1,010.67
  6. Step 6: Final answer
    x = 906.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.