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Finding the Fourth Proportional to 1,035.26, 1,428.69 and 569.50

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Solution

The fourth proportional to 1,035.26, 1,428.69 and 569.50 is: 785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.26 : 1,428.69 = 569.50 : x
  2. Step 2: Convert to fraction form
    1,035.26/1,428.69 = 569.50/x
  3. Step 3: Cross multiply
    1,035.26x = 1,428.69 × 569.50
  4. Step 4: Simplify right side
    1,035.26x = 813,638.96
  5. Step 5: Solve for x
    x = 813,638.96/1,035.26
  6. Step 6: Final answer
    x = 785.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.