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Finding the Fourth Proportional to 1,435.29, 2,151.72 and 569.13

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Solution

The fourth proportional to 1,435.29, 2,151.72 and 569.13 is: 853.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.29 : 2,151.72 = 569.13 : x
  2. Step 2: Convert to fraction form
    1,435.29/2,151.72 = 569.13/x
  3. Step 3: Cross multiply
    1,435.29x = 2,151.72 × 569.13
  4. Step 4: Simplify right side
    1,435.29x = 1,224,608.40
  5. Step 5: Solve for x
    x = 1,224,608.40/1,435.29
  6. Step 6: Final answer
    x = 853.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.