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Finding the Fourth Proportional to 750.84, 1,036.87 and 502.74

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Solution

The fourth proportional to 750.84, 1,036.87 and 502.74 is: 694.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.84 : 1,036.87 = 502.74 : x
  2. Step 2: Convert to fraction form
    750.84/1,036.87 = 502.74/x
  3. Step 3: Cross multiply
    750.84x = 1,036.87 × 502.74
  4. Step 4: Simplify right side
    750.84x = 521,274.77
  5. Step 5: Solve for x
    x = 521,274.77/750.84
  6. Step 6: Final answer
    x = 694.26

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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.