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Finding the Fourth Proportional to 1,014.79, 1,400.42 and 549.04

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Solution

The fourth proportional to 1,014.79, 1,400.42 and 549.04 is: 757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.79 : 1,400.42 = 549.04 : x
  2. Step 2: Convert to fraction form
    1,014.79/1,400.42 = 549.04/x
  3. Step 3: Cross multiply
    1,014.79x = 1,400.42 × 549.04
  4. Step 4: Simplify right side
    1,014.79x = 768,886.60
  5. Step 5: Solve for x
    x = 768,886.60/1,014.79
  6. Step 6: Final answer
    x = 757.68

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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.