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Finding the Fourth Proportional to 750.14, 1,035.16 and 418.50

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Solution

The fourth proportional to 750.14, 1,035.16 and 418.50 is: 577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.14 : 1,035.16 = 418.50 : x
  2. Step 2: Convert to fraction form
    750.14/1,035.16 = 418.50/x
  3. Step 3: Cross multiply
    750.14x = 1,035.16 × 418.50
  4. Step 4: Simplify right side
    750.14x = 433,213.41
  5. Step 5: Solve for x
    x = 433,213.41/750.14
  6. Step 6: Final answer
    x = 577.51

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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.