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Finding the Fourth Proportional to 1,396.16, 2,094.44 and 530.36

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Solution

The fourth proportional to 1,396.16, 2,094.44 and 530.36 is: 795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.16 : 2,094.44 = 530.36 : x
  2. Step 2: Convert to fraction form
    1,396.16/2,094.44 = 530.36/x
  3. Step 3: Cross multiply
    1,396.16x = 2,094.44 × 530.36
  4. Step 4: Simplify right side
    1,396.16x = 1,110,807.20
  5. Step 5: Solve for x
    x = 1,110,807.20/1,396.16
  6. Step 6: Final answer
    x = 795.62

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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.