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Finding the Fourth Proportional to 750.48, 1,036.46 and 502.84

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Solution

The fourth proportional to 750.48, 1,036.46 and 502.84 is: 694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.48 : 1,036.46 = 502.84 : x
  2. Step 2: Convert to fraction form
    750.48/1,036.46 = 502.84/x
  3. Step 3: Cross multiply
    750.48x = 1,036.46 × 502.84
  4. Step 4: Simplify right side
    750.48x = 521,173.55
  5. Step 5: Solve for x
    x = 521,173.55/750.48
  6. Step 6: Final answer
    x = 694.45

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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.