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Finding the Fourth Proportional to 1,035, 1,428.34 and 569.24

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Solution

The fourth proportional to 1,035, 1,428.34 and 569.24 is: 785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035 : 1,428.34 = 569.24 : x
  2. Step 2: Convert to fraction form
    1,035/1,428.34 = 569.24/x
  3. Step 3: Cross multiply
    1,035x = 1,428.34 × 569.24
  4. Step 4: Simplify right side
    1,035x = 813,068.26
  5. Step 5: Solve for x
    x = 813,068.26/1,035
  6. Step 6: Final answer
    x = 785.57

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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.