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Finding the Fourth Proportional to 1,035.50, 1,429 and 569.76

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Solution

The fourth proportional to 1,035.50, 1,429 and 569.76 is: 786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.50 : 1,429 = 569.76 : x
  2. Step 2: Convert to fraction form
    1,035.50/1,429 = 569.76/x
  3. Step 3: Cross multiply
    1,035.50x = 1,429 × 569.76
  4. Step 4: Simplify right side
    1,035.50x = 814,187.04
  5. Step 5: Solve for x
    x = 814,187.04/1,035.50
  6. Step 6: Final answer
    x = 786.27

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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.