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Finding the Fourth Proportional to 1,210.34, 1,815.72 and 388.82

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Solution

The fourth proportional to 1,210.34, 1,815.72 and 388.82 is: 583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.34 : 1,815.72 = 388.82 : x
  2. Step 2: Convert to fraction form
    1,210.34/1,815.72 = 388.82/x
  3. Step 3: Cross multiply
    1,210.34x = 1,815.72 × 388.82
  4. Step 4: Simplify right side
    1,210.34x = 705,979.17
  5. Step 5: Solve for x
    x = 705,979.17/1,210.34
  6. Step 6: Final answer
    x = 583.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.