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Finding the Fourth Proportional to 750.86, 1,036.01 and 435.94

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Solution

The fourth proportional to 750.86, 1,036.01 and 435.94 is: 601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.86 : 1,036.01 = 435.94 : x
  2. Step 2: Convert to fraction form
    750.86/1,036.01 = 435.94/x
  3. Step 3: Cross multiply
    750.86x = 1,036.01 × 435.94
  4. Step 4: Simplify right side
    750.86x = 451,633.02
  5. Step 5: Solve for x
    x = 451,633.02/750.86
  6. Step 6: Final answer
    x = 601.49

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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.