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Finding the Fourth Proportional to 810.59, 1,216.71 and 579.74

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Solution

The fourth proportional to 810.59, 1,216.71 and 579.74 is: 870.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.59 : 1,216.71 = 579.74 : x
  2. Step 2: Convert to fraction form
    810.59/1,216.71 = 579.74/x
  3. Step 3: Cross multiply
    810.59x = 1,216.71 × 579.74
  4. Step 4: Simplify right side
    810.59x = 705,369.37
  5. Step 5: Solve for x
    x = 705,369.37/810.59
  6. Step 6: Final answer
    x = 870.20

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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.