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Finding the Fourth Proportional to 1,300.75, 1,951.78 and 569.45

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Solution

The fourth proportional to 1,300.75, 1,951.78 and 569.45 is: 854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.75 : 1,951.78 = 569.45 : x
  2. Step 2: Convert to fraction form
    1,300.75/1,951.78 = 569.45/x
  3. Step 3: Cross multiply
    1,300.75x = 1,951.78 × 569.45
  4. Step 4: Simplify right side
    1,300.75x = 1,111,441.12
  5. Step 5: Solve for x
    x = 1,111,441.12/1,300.75
  6. Step 6: Final answer
    x = 854.46

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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.