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Finding the Fourth Proportional to 750.81, 1,036.01 and 456.08

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Solution

The fourth proportional to 750.81, 1,036.01 and 456.08 is: 629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.81 : 1,036.01 = 456.08 : x
  2. Step 2: Convert to fraction form
    750.81/1,036.01 = 456.08/x
  3. Step 3: Cross multiply
    750.81x = 1,036.01 × 456.08
  4. Step 4: Simplify right side
    750.81x = 472,499.40
  5. Step 5: Solve for x
    x = 472,499.40/750.81
  6. Step 6: Final answer
    x = 629.32

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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.