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Finding the Fourth Proportional to 1,110.19, 1,532.05 and 612.83

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Solution

The fourth proportional to 1,110.19, 1,532.05 and 612.83 is: 845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.19 : 1,532.05 = 612.83 : x
  2. Step 2: Convert to fraction form
    1,110.19/1,532.05 = 612.83/x
  3. Step 3: Cross multiply
    1,110.19x = 1,532.05 × 612.83
  4. Step 4: Simplify right side
    1,110.19x = 938,887.54
  5. Step 5: Solve for x
    x = 938,887.54/1,110.19
  6. Step 6: Final answer
    x = 845.70

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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.