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Finding the Fourth Proportional to 1,210.73, 1,814.96 and 594.95

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Solution

The fourth proportional to 1,210.73, 1,814.96 and 594.95 is: 891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.73 : 1,814.96 = 594.95 : x
  2. Step 2: Convert to fraction form
    1,210.73/1,814.96 = 594.95/x
  3. Step 3: Cross multiply
    1,210.73x = 1,814.96 × 594.95
  4. Step 4: Simplify right side
    1,210.73x = 1,079,798.40
  5. Step 5: Solve for x
    x = 1,079,798.40/1,210.73
  6. Step 6: Final answer
    x = 891.86

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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.