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Finding the Fourth Proportional to 1,147.84, 1,584.24 and 706.04

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Solution

The fourth proportional to 1,147.84, 1,584.24 and 706.04 is: 974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.84 : 1,584.24 = 706.04 : x
  2. Step 2: Convert to fraction form
    1,147.84/1,584.24 = 706.04/x
  3. Step 3: Cross multiply
    1,147.84x = 1,584.24 × 706.04
  4. Step 4: Simplify right side
    1,147.84x = 1,118,536.81
  5. Step 5: Solve for x
    x = 1,118,536.81/1,147.84
  6. Step 6: Final answer
    x = 974.47

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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.