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Finding the Fourth Proportional to 1,035.43, 1,552.10 and 514.63

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Solution

The fourth proportional to 1,035.43, 1,552.10 and 514.63 is: 771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.43 : 1,552.10 = 514.63 : x
  2. Step 2: Convert to fraction form
    1,035.43/1,552.10 = 514.63/x
  3. Step 3: Cross multiply
    1,035.43x = 1,552.10 × 514.63
  4. Step 4: Simplify right side
    1,035.43x = 798,746.89
  5. Step 5: Solve for x
    x = 798,746.89/1,035.43
  6. Step 6: Final answer
    x = 771.42

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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.