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Finding the Fourth Proportional to 750.13, 1,035.16 and 418.53

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Solution

The fourth proportional to 750.13, 1,035.16 and 418.53 is: 577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.13 : 1,035.16 = 418.53 : x
  2. Step 2: Convert to fraction form
    750.13/1,035.16 = 418.53/x
  3. Step 3: Cross multiply
    750.13x = 1,035.16 × 418.53
  4. Step 4: Simplify right side
    750.13x = 433,248.35
  5. Step 5: Solve for x
    x = 433,248.35/750.13
  6. Step 6: Final answer
    x = 577.57

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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.