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Finding the Fourth Proportional to 1,523.16, 2,284.73 and 549.25

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Solution

The fourth proportional to 1,523.16, 2,284.73 and 549.25 is: 823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.16 : 2,284.73 = 549.25 : x
  2. Step 2: Convert to fraction form
    1,523.16/2,284.73 = 549.25/x
  3. Step 3: Cross multiply
    1,523.16x = 2,284.73 × 549.25
  4. Step 4: Simplify right side
    1,523.16x = 1,254,885.21
  5. Step 5: Solve for x
    x = 1,254,885.21/1,523.16
  6. Step 6: Final answer
    x = 823.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.