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Finding the Fourth Proportional to 1,210.58, 1,815.72 and 388.86

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Solution

The fourth proportional to 1,210.58, 1,815.72 and 388.86 is: 583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.58 : 1,815.72 = 388.86 : x
  2. Step 2: Convert to fraction form
    1,210.58/1,815.72 = 388.86/x
  3. Step 3: Cross multiply
    1,210.58x = 1,815.72 × 388.86
  4. Step 4: Simplify right side
    1,210.58x = 706,060.88
  5. Step 5: Solve for x
    x = 706,060.88/1,210.58
  6. Step 6: Final answer
    x = 583.24

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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.