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Finding the Fourth Proportional to 751.62, 1,036.86 and 457.08

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Solution

The fourth proportional to 751.62, 1,036.86 and 457.08 is: 630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.62 : 1,036.86 = 457.08 : x
  2. Step 2: Convert to fraction form
    751.62/1,036.86 = 457.08/x
  3. Step 3: Cross multiply
    751.62x = 1,036.86 × 457.08
  4. Step 4: Simplify right side
    751.62x = 473,927.97
  5. Step 5: Solve for x
    x = 473,927.97/751.62
  6. Step 6: Final answer
    x = 630.54

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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.