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Finding the Fourth Proportional to 751.32, 1,036.82 and 419.77

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Solution

The fourth proportional to 751.32, 1,036.82 and 419.77 is: 579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.32 : 1,036.82 = 419.77 : x
  2. Step 2: Convert to fraction form
    751.32/1,036.82 = 419.77/x
  3. Step 3: Cross multiply
    751.32x = 1,036.82 × 419.77
  4. Step 4: Simplify right side
    751.32x = 435,225.93
  5. Step 5: Solve for x
    x = 435,225.93/751.32
  6. Step 6: Final answer
    x = 579.28

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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.