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Finding the Fourth Proportional to 1,701.02, 2,551.29 and 530.75

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Solution

The fourth proportional to 1,701.02, 2,551.29 and 530.75 is: 796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.02 : 2,551.29 = 530.75 : x
  2. Step 2: Convert to fraction form
    1,701.02/2,551.29 = 530.75/x
  3. Step 3: Cross multiply
    1,701.02x = 2,551.29 × 530.75
  4. Step 4: Simplify right side
    1,701.02x = 1,354,101.56
  5. Step 5: Solve for x
    x = 1,354,101.56/1,701.02
  6. Step 6: Final answer
    x = 796.05

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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.