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Finding the Fourth Proportional to 790.74, 1,090.53 and 569.34

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Solution

The fourth proportional to 790.74, 1,090.53 and 569.34 is: 785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.74 : 1,090.53 = 569.34 : x
  2. Step 2: Convert to fraction form
    790.74/1,090.53 = 569.34/x
  3. Step 3: Cross multiply
    790.74x = 1,090.53 × 569.34
  4. Step 4: Simplify right side
    790.74x = 620,882.35
  5. Step 5: Solve for x
    x = 620,882.35/790.74
  6. Step 6: Final answer
    x = 785.19

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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.