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Finding the Fourth Proportional to 751.30, 1,036.50 and 456.46

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Solution

The fourth proportional to 751.30, 1,036.50 and 456.46 is: 629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.30 : 1,036.50 = 456.46 : x
  2. Step 2: Convert to fraction form
    751.30/1,036.50 = 456.46/x
  3. Step 3: Cross multiply
    751.30x = 1,036.50 × 456.46
  4. Step 4: Simplify right side
    751.30x = 473,120.79
  5. Step 5: Solve for x
    x = 473,120.79/751.30
  6. Step 6: Final answer
    x = 629.74

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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.