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Finding the Fourth Proportional to 1,351.35, 2,026.82 and 530.19

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Solution

The fourth proportional to 1,351.35, 2,026.82 and 530.19 is: 795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.35 : 2,026.82 = 530.19 : x
  2. Step 2: Convert to fraction form
    1,351.35/2,026.82 = 530.19/x
  3. Step 3: Cross multiply
    1,351.35x = 2,026.82 × 530.19
  4. Step 4: Simplify right side
    1,351.35x = 1,074,601.02
  5. Step 5: Solve for x
    x = 1,074,601.02/1,351.35
  6. Step 6: Final answer
    x = 795.21

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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.