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Finding the Fourth Proportional to 751.49, 1,036.85 and 436.74

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Solution

The fourth proportional to 751.49, 1,036.85 and 436.74 is: 602.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.49 : 1,036.85 = 436.74 : x
  2. Step 2: Convert to fraction form
    751.49/1,036.85 = 436.74/x
  3. Step 3: Cross multiply
    751.49x = 1,036.85 × 436.74
  4. Step 4: Simplify right side
    751.49x = 452,827.80
  5. Step 5: Solve for x
    x = 452,827.80/751.49
  6. Step 6: Final answer
    x = 602.57

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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.