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Finding the Fourth Proportional to 1,575.78, 2,362.77 and 549.06

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Solution

The fourth proportional to 1,575.78, 2,362.77 and 549.06 is: 823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.78 : 2,362.77 = 549.06 : x
  2. Step 2: Convert to fraction form
    1,575.78/2,362.77 = 549.06/x
  3. Step 3: Cross multiply
    1,575.78x = 2,362.77 × 549.06
  4. Step 4: Simplify right side
    1,575.78x = 1,297,302.50
  5. Step 5: Solve for x
    x = 1,297,302.50/1,575.78
  6. Step 6: Final answer
    x = 823.28

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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.