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Finding the Fourth Proportional to 1,395.21, 2,088.72 and 735.53

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Solution

The fourth proportional to 1,395.21, 2,088.72 and 735.53 is: 1,101.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.21 : 2,088.72 = 735.53 : x
  2. Step 2: Convert to fraction form
    1,395.21/2,088.72 = 735.53/x
  3. Step 3: Cross multiply
    1,395.21x = 2,088.72 × 735.53
  4. Step 4: Simplify right side
    1,395.21x = 1,536,316.22
  5. Step 5: Solve for x
    x = 1,536,316.22/1,395.21
  6. Step 6: Final answer
    x = 1,101.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.