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Finding the Fourth Proportional to 1,247.04, 1,869.80 and 477.60

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Solution

The fourth proportional to 1,247.04, 1,869.80 and 477.60 is: 716.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.04 : 1,869.80 = 477.60 : x
  2. Step 2: Convert to fraction form
    1,247.04/1,869.80 = 477.60/x
  3. Step 3: Cross multiply
    1,247.04x = 1,869.80 × 477.60
  4. Step 4: Simplify right side
    1,247.04x = 893,016.48
  5. Step 5: Solve for x
    x = 893,016.48/1,247.04
  6. Step 6: Final answer
    x = 716.11

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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.