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Finding the Fourth Proportional to 1,148.53, 1,584.74 and 706.69

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Solution

The fourth proportional to 1,148.53, 1,584.74 and 706.69 is: 975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.53 : 1,584.74 = 706.69 : x
  2. Step 2: Convert to fraction form
    1,148.53/1,584.74 = 706.69/x
  3. Step 3: Cross multiply
    1,148.53x = 1,584.74 × 706.69
  4. Step 4: Simplify right side
    1,148.53x = 1,119,911.99
  5. Step 5: Solve for x
    x = 1,119,911.99/1,148.53
  6. Step 6: Final answer
    x = 975.09

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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.