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Finding the Fourth Proportional to 1,210.67, 1,816.91 and 470.39

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Solution

The fourth proportional to 1,210.67, 1,816.91 and 470.39 is: 705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.67 : 1,816.91 = 470.39 : x
  2. Step 2: Convert to fraction form
    1,210.67/1,816.91 = 470.39/x
  3. Step 3: Cross multiply
    1,210.67x = 1,816.91 × 470.39
  4. Step 4: Simplify right side
    1,210.67x = 854,644.86
  5. Step 5: Solve for x
    x = 854,644.86/1,210.67
  6. Step 6: Final answer
    x = 705.93

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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.