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Finding the Fourth Proportional to 1,148.84, 1,584.74 and 706.42

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Solution

The fourth proportional to 1,148.84, 1,584.74 and 706.42 is: 974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.84 : 1,584.74 = 706.42 : x
  2. Step 2: Convert to fraction form
    1,148.84/1,584.74 = 706.42/x
  3. Step 3: Cross multiply
    1,148.84x = 1,584.74 × 706.42
  4. Step 4: Simplify right side
    1,148.84x = 1,119,494.78
  5. Step 5: Solve for x
    x = 1,119,494.78/1,148.84
  6. Step 6: Final answer
    x = 974.46

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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.