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Finding the Fourth Proportional to 1,032.21, 1,549.13 and 621.81

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Solution

The fourth proportional to 1,032.21, 1,549.13 and 621.81 is: 933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.21 : 1,549.13 = 621.81 : x
  2. Step 2: Convert to fraction form
    1,032.21/1,549.13 = 621.81/x
  3. Step 3: Cross multiply
    1,032.21x = 1,549.13 × 621.81
  4. Step 4: Simplify right side
    1,032.21x = 963,261.42
  5. Step 5: Solve for x
    x = 963,261.42/1,032.21
  6. Step 6: Final answer
    x = 933.20

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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.