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Finding the Fourth Proportional to 836.51, 1,254.91 and 507.69

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Solution

The fourth proportional to 836.51, 1,254.91 and 507.69 is: 761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.51 : 1,254.91 = 507.69 : x
  2. Step 2: Convert to fraction form
    836.51/1,254.91 = 507.69/x
  3. Step 3: Cross multiply
    836.51x = 1,254.91 × 507.69
  4. Step 4: Simplify right side
    836.51x = 637,106.33
  5. Step 5: Solve for x
    x = 637,106.33/836.51
  6. Step 6: Final answer
    x = 761.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.