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Finding the Fourth Proportional to 1,085.08, 1,627.64 and 315.60

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Solution

The fourth proportional to 1,085.08, 1,627.64 and 315.60 is: 473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.08 : 1,627.64 = 315.60 : x
  2. Step 2: Convert to fraction form
    1,085.08/1,627.64 = 315.60/x
  3. Step 3: Cross multiply
    1,085.08x = 1,627.64 × 315.60
  4. Step 4: Simplify right side
    1,085.08x = 513,683.18
  5. Step 5: Solve for x
    x = 513,683.18/1,085.08
  6. Step 6: Final answer
    x = 473.41

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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.