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Finding the Fourth Proportional to 1,035.10, 1,428.44 and 569.35

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Solution

The fourth proportional to 1,035.10, 1,428.44 and 569.35 is: 785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.10 : 1,428.44 = 569.35 : x
  2. Step 2: Convert to fraction form
    1,035.10/1,428.44 = 569.35/x
  3. Step 3: Cross multiply
    1,035.10x = 1,428.44 × 569.35
  4. Step 4: Simplify right side
    1,035.10x = 813,280.17
  5. Step 5: Solve for x
    x = 813,280.17/1,035.10
  6. Step 6: Final answer
    x = 785.70

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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.