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Finding the Fourth Proportional to 751.13, 1,036.54 and 419.53

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Solution

The fourth proportional to 751.13, 1,036.54 and 419.53 is: 578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.13 : 1,036.54 = 419.53 : x
  2. Step 2: Convert to fraction form
    751.13/1,036.54 = 419.53/x
  3. Step 3: Cross multiply
    751.13x = 1,036.54 × 419.53
  4. Step 4: Simplify right side
    751.13x = 434,859.63
  5. Step 5: Solve for x
    x = 434,859.63/751.13
  6. Step 6: Final answer
    x = 578.94

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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.