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Finding the Fourth Proportional to 900.14, 1,242.32 and 652.28

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Solution

The fourth proportional to 900.14, 1,242.32 and 652.28 is: 900.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.14 : 1,242.32 = 652.28 : x
  2. Step 2: Convert to fraction form
    900.14/1,242.32 = 652.28/x
  3. Step 3: Cross multiply
    900.14x = 1,242.32 × 652.28
  4. Step 4: Simplify right side
    900.14x = 810,331.02
  5. Step 5: Solve for x
    x = 810,331.02/900.14
  6. Step 6: Final answer
    x = 900.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.