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Finding the Fourth Proportional to 1,005.53, 1,389.36 and 830.57

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Solution

The fourth proportional to 1,005.53, 1,389.36 and 830.57 is: 1,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.53 : 1,389.36 = 830.57 : x
  2. Step 2: Convert to fraction form
    1,005.53/1,389.36 = 830.57/x
  3. Step 3: Cross multiply
    1,005.53x = 1,389.36 × 830.57
  4. Step 4: Simplify right side
    1,005.53x = 1,153,960.74
  5. Step 5: Solve for x
    x = 1,153,960.74/1,005.53
  6. Step 6: Final answer
    x = 1,147.61

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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.