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Finding the Fourth Proportional to 1,035.63, 1,429.14 and 569.88

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Solution

The fourth proportional to 1,035.63, 1,429.14 and 569.88 is: 786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.63 : 1,429.14 = 569.88 : x
  2. Step 2: Convert to fraction form
    1,035.63/1,429.14 = 569.88/x
  3. Step 3: Cross multiply
    1,035.63x = 1,429.14 × 569.88
  4. Step 4: Simplify right side
    1,035.63x = 814,438.30
  5. Step 5: Solve for x
    x = 814,438.30/1,035.63
  6. Step 6: Final answer
    x = 786.42

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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.