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Finding the Fourth Proportional to 808.66, 1,210.66 and 499.58

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Solution

The fourth proportional to 808.66, 1,210.66 and 499.58 is: 747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.66 : 1,210.66 = 499.58 : x
  2. Step 2: Convert to fraction form
    808.66/1,210.66 = 499.58/x
  3. Step 3: Cross multiply
    808.66x = 1,210.66 × 499.58
  4. Step 4: Simplify right side
    808.66x = 604,821.52
  5. Step 5: Solve for x
    x = 604,821.52/808.66
  6. Step 6: Final answer
    x = 747.93

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