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Finding the Fourth Proportional to 1,211.76, 1,817.60 and 390.08

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Solution

The fourth proportional to 1,211.76, 1,817.60 and 390.08 is: 585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.76 : 1,817.60 = 390.08 : x
  2. Step 2: Convert to fraction form
    1,211.76/1,817.60 = 390.08/x
  3. Step 3: Cross multiply
    1,211.76x = 1,817.60 × 390.08
  4. Step 4: Simplify right side
    1,211.76x = 709,009.41
  5. Step 5: Solve for x
    x = 709,009.41/1,211.76
  6. Step 6: Final answer
    x = 585.11

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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.