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Finding the Fourth Proportional to 736.30, 1,014.95 and 549.50

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Solution

The fourth proportional to 736.30, 1,014.95 and 549.50 is: 757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.30 : 1,014.95 = 549.50 : x
  2. Step 2: Convert to fraction form
    736.30/1,014.95 = 549.50/x
  3. Step 3: Cross multiply
    736.30x = 1,014.95 × 549.50
  4. Step 4: Simplify right side
    736.30x = 557,715.03
  5. Step 5: Solve for x
    x = 557,715.03/736.30
  6. Step 6: Final answer
    x = 757.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.