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Finding the Fourth Proportional to 750.63, 1,036.04 and 455.84

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Solution

The fourth proportional to 750.63, 1,036.04 and 455.84 is: 629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.63 : 1,036.04 = 455.84 : x
  2. Step 2: Convert to fraction form
    750.63/1,036.04 = 455.84/x
  3. Step 3: Cross multiply
    750.63x = 1,036.04 × 455.84
  4. Step 4: Simplify right side
    750.63x = 472,264.43
  5. Step 5: Solve for x
    x = 472,264.43/750.63
  6. Step 6: Final answer
    x = 629.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.