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Finding the Fourth Proportional to 709.09, 1,064.54 and 503.76

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Solution

The fourth proportional to 709.09, 1,064.54 and 503.76 is: 756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.09 : 1,064.54 = 503.76 : x
  2. Step 2: Convert to fraction form
    709.09/1,064.54 = 503.76/x
  3. Step 3: Cross multiply
    709.09x = 1,064.54 × 503.76
  4. Step 4: Simplify right side
    709.09x = 536,272.67
  5. Step 5: Solve for x
    x = 536,272.67/709.09
  6. Step 6: Final answer
    x = 756.28

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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.