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Finding the Fourth Proportional to 751.09, 1,036.54 and 502.51

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Solution

The fourth proportional to 751.09, 1,036.54 and 502.51 is: 693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.09 : 1,036.54 = 502.51 : x
  2. Step 2: Convert to fraction form
    751.09/1,036.54 = 502.51/x
  3. Step 3: Cross multiply
    751.09x = 1,036.54 × 502.51
  4. Step 4: Simplify right side
    751.09x = 520,871.72
  5. Step 5: Solve for x
    x = 520,871.72/751.09
  6. Step 6: Final answer
    x = 693.49

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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.