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Finding the Fourth Proportional to 751.13, 1,036.77 and 489.23

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Solution

The fourth proportional to 751.13, 1,036.77 and 489.23 is: 675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.13 : 1,036.77 = 489.23 : x
  2. Step 2: Convert to fraction form
    751.13/1,036.77 = 489.23/x
  3. Step 3: Cross multiply
    751.13x = 1,036.77 × 489.23
  4. Step 4: Simplify right side
    751.13x = 507,218.99
  5. Step 5: Solve for x
    x = 507,218.99/751.13
  6. Step 6: Final answer
    x = 675.27

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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.