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Finding the Fourth Proportional to 900.78, 1,242.72 and 569.19

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Solution

The fourth proportional to 900.78, 1,242.72 and 569.19 is: 785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.78 : 1,242.72 = 569.19 : x
  2. Step 2: Convert to fraction form
    900.78/1,242.72 = 569.19/x
  3. Step 3: Cross multiply
    900.78x = 1,242.72 × 569.19
  4. Step 4: Simplify right side
    900.78x = 707,343.80
  5. Step 5: Solve for x
    x = 707,343.80/900.78
  6. Step 6: Final answer
    x = 785.26

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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.