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Finding the Fourth Proportional to 805.72, 1,206.53 and 530.98

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Solution

The fourth proportional to 805.72, 1,206.53 and 530.98 is: 795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.72 : 1,206.53 = 530.98 : x
  2. Step 2: Convert to fraction form
    805.72/1,206.53 = 530.98/x
  3. Step 3: Cross multiply
    805.72x = 1,206.53 × 530.98
  4. Step 4: Simplify right side
    805.72x = 640,644.13
  5. Step 5: Solve for x
    x = 640,644.13/805.72
  6. Step 6: Final answer
    x = 795.12

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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.