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Finding the Fourth Proportional to 1,036.67, 1,430.90 and 682.85

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Solution

The fourth proportional to 1,036.67, 1,430.90 and 682.85 is: 942.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.67 : 1,430.90 = 682.85 : x
  2. Step 2: Convert to fraction form
    1,036.67/1,430.90 = 682.85/x
  3. Step 3: Cross multiply
    1,036.67x = 1,430.90 × 682.85
  4. Step 4: Simplify right side
    1,036.67x = 977,086.14
  5. Step 5: Solve for x
    x = 977,086.14/1,036.67
  6. Step 6: Final answer
    x = 942.52

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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.