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Finding the Fourth Proportional to 1,210.68, 1,815.96 and 388.92

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Solution

The fourth proportional to 1,210.68, 1,815.96 and 388.92 is: 583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.68 : 1,815.96 = 388.92 : x
  2. Step 2: Convert to fraction form
    1,210.68/1,815.96 = 388.92/x
  3. Step 3: Cross multiply
    1,210.68x = 1,815.96 × 388.92
  4. Step 4: Simplify right side
    1,210.68x = 706,263.16
  5. Step 5: Solve for x
    x = 706,263.16/1,210.68
  6. Step 6: Final answer
    x = 583.36

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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.