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Finding the Fourth Proportional to 883.66, 1,219.54 and 569.14

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Solution

The fourth proportional to 883.66, 1,219.54 and 569.14 is: 785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.66 : 1,219.54 = 569.14 : x
  2. Step 2: Convert to fraction form
    883.66/1,219.54 = 569.14/x
  3. Step 3: Cross multiply
    883.66x = 1,219.54 × 569.14
  4. Step 4: Simplify right side
    883.66x = 694,089.00
  5. Step 5: Solve for x
    x = 694,089.00/883.66
  6. Step 6: Final answer
    x = 785.47

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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.