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Finding the Fourth Proportional to 1,034.83, 1,428.13 and 569.08

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Solution

The fourth proportional to 1,034.83, 1,428.13 and 569.08 is: 785.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.83 : 1,428.13 = 569.08 : x
  2. Step 2: Convert to fraction form
    1,034.83/1,428.13 = 569.08/x
  3. Step 3: Cross multiply
    1,034.83x = 1,428.13 × 569.08
  4. Step 4: Simplify right side
    1,034.83x = 812,720.22
  5. Step 5: Solve for x
    x = 812,720.22/1,034.83
  6. Step 6: Final answer
    x = 785.37

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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.