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Finding the Fourth Proportional to 750.93, 1,035.86 and 471.09

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Solution

The fourth proportional to 750.93, 1,035.86 and 471.09 is: 649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.93 : 1,035.86 = 471.09 : x
  2. Step 2: Convert to fraction form
    750.93/1,035.86 = 471.09/x
  3. Step 3: Cross multiply
    750.93x = 1,035.86 × 471.09
  4. Step 4: Simplify right side
    750.93x = 487,980.93
  5. Step 5: Solve for x
    x = 487,980.93/750.93
  6. Step 6: Final answer
    x = 649.84

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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.