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Finding the Fourth Proportional to 1,262.35, 1,893.53 and 569.35

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Solution

The fourth proportional to 1,262.35, 1,893.53 and 569.35 is: 854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.35 : 1,893.53 = 569.35 : x
  2. Step 2: Convert to fraction form
    1,262.35/1,893.53 = 569.35/x
  3. Step 3: Cross multiply
    1,262.35x = 1,893.53 × 569.35
  4. Step 4: Simplify right side
    1,262.35x = 1,078,068.99
  5. Step 5: Solve for x
    x = 1,078,068.99/1,262.35
  6. Step 6: Final answer
    x = 854.02

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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.