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Finding the Fourth Proportional to 1,212.58, 1,818.33 and 390.70

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Solution

The fourth proportional to 1,212.58, 1,818.33 and 390.70 is: 585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.58 : 1,818.33 = 390.70 : x
  2. Step 2: Convert to fraction form
    1,212.58/1,818.33 = 390.70/x
  3. Step 3: Cross multiply
    1,212.58x = 1,818.33 × 390.70
  4. Step 4: Simplify right side
    1,212.58x = 710,421.53
  5. Step 5: Solve for x
    x = 710,421.53/1,212.58
  6. Step 6: Final answer
    x = 585.88

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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.