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Finding the Fourth Proportional to 1,147.86, 1,584.81 and 706.53

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Solution

The fourth proportional to 1,147.86, 1,584.81 and 706.53 is: 975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.86 : 1,584.81 = 706.53 : x
  2. Step 2: Convert to fraction form
    1,147.86/1,584.81 = 706.53/x
  3. Step 3: Cross multiply
    1,147.86x = 1,584.81 × 706.53
  4. Step 4: Simplify right side
    1,147.86x = 1,119,715.81
  5. Step 5: Solve for x
    x = 1,119,715.81/1,147.86
  6. Step 6: Final answer
    x = 975.48

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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.