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Finding the Fourth Proportional to 1,033.50, 1,550.70 and 514.02

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Solution

The fourth proportional to 1,033.50, 1,550.70 and 514.02 is: 771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.50 : 1,550.70 = 514.02 : x
  2. Step 2: Convert to fraction form
    1,033.50/1,550.70 = 514.02/x
  3. Step 3: Cross multiply
    1,033.50x = 1,550.70 × 514.02
  4. Step 4: Simplify right side
    1,033.50x = 797,090.81
  5. Step 5: Solve for x
    x = 797,090.81/1,033.50
  6. Step 6: Final answer
    x = 771.25

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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.