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Finding the Fourth Proportional to 790.53, 1,089.45 and 569.09

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Solution

The fourth proportional to 790.53, 1,089.45 and 569.09 is: 784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.53 : 1,089.45 = 569.09 : x
  2. Step 2: Convert to fraction form
    790.53/1,089.45 = 569.09/x
  3. Step 3: Cross multiply
    790.53x = 1,089.45 × 569.09
  4. Step 4: Simplify right side
    790.53x = 619,997.82
  5. Step 5: Solve for x
    x = 619,997.82/790.53
  6. Step 6: Final answer
    x = 784.28

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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.