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Finding the Fourth Proportional to 750.18, 1,035.30 and 418.66

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Solution

The fourth proportional to 750.18, 1,035.30 and 418.66 is: 577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.18 : 1,035.30 = 418.66 : x
  2. Step 2: Convert to fraction form
    750.18/1,035.30 = 418.66/x
  3. Step 3: Cross multiply
    750.18x = 1,035.30 × 418.66
  4. Step 4: Simplify right side
    750.18x = 433,436.11
  5. Step 5: Solve for x
    x = 433,436.11/750.18
  6. Step 6: Final answer
    x = 577.77

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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.