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Finding the Fourth Proportional to 1,395.64, 2,094.20 and 604.90

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Solution

The fourth proportional to 1,395.64, 2,094.20 and 604.90 is: 907.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.64 : 2,094.20 = 604.90 : x
  2. Step 2: Convert to fraction form
    1,395.64/2,094.20 = 604.90/x
  3. Step 3: Cross multiply
    1,395.64x = 2,094.20 × 604.90
  4. Step 4: Simplify right side
    1,395.64x = 1,266,781.58
  5. Step 5: Solve for x
    x = 1,266,781.58/1,395.64
  6. Step 6: Final answer
    x = 907.67

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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.