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Finding the Fourth Proportional to 1,112.50, 1,535.34 and 646.75

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Solution

The fourth proportional to 1,112.50, 1,535.34 and 646.75 is: 892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.50 : 1,535.34 = 646.75 : x
  2. Step 2: Convert to fraction form
    1,112.50/1,535.34 = 646.75/x
  3. Step 3: Cross multiply
    1,112.50x = 1,535.34 × 646.75
  4. Step 4: Simplify right side
    1,112.50x = 992,981.15
  5. Step 5: Solve for x
    x = 992,981.15/1,112.50
  6. Step 6: Final answer
    x = 892.57

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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.