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Finding the Fourth Proportional to 751.30, 1,036.82 and 419.70

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Solution

The fourth proportional to 751.30, 1,036.82 and 419.70 is: 579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.30 : 1,036.82 = 419.70 : x
  2. Step 2: Convert to fraction form
    751.30/1,036.82 = 419.70/x
  3. Step 3: Cross multiply
    751.30x = 1,036.82 × 419.70
  4. Step 4: Simplify right side
    751.30x = 435,153.35
  5. Step 5: Solve for x
    x = 435,153.35/751.30
  6. Step 6: Final answer
    x = 579.20

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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.