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Finding the Fourth Proportional to 1,210.65, 1,816.10 and 388.72

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Solution

The fourth proportional to 1,210.65, 1,816.10 and 388.72 is: 583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.65 : 1,816.10 = 388.72 : x
  2. Step 2: Convert to fraction form
    1,210.65/1,816.10 = 388.72/x
  3. Step 3: Cross multiply
    1,210.65x = 1,816.10 × 388.72
  4. Step 4: Simplify right side
    1,210.65x = 705,960.19
  5. Step 5: Solve for x
    x = 705,960.19/1,210.65
  6. Step 6: Final answer
    x = 583.13

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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.