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Finding the Fourth Proportional to 1,085.93, 1,628.74 and 392.50

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Solution

The fourth proportional to 1,085.93, 1,628.74 and 392.50 is: 588.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.93 : 1,628.74 = 392.50 : x
  2. Step 2: Convert to fraction form
    1,085.93/1,628.74 = 392.50/x
  3. Step 3: Cross multiply
    1,085.93x = 1,628.74 × 392.50
  4. Step 4: Simplify right side
    1,085.93x = 639,280.45
  5. Step 5: Solve for x
    x = 639,280.45/1,085.93
  6. Step 6: Final answer
    x = 588.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.