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Finding the Fourth Proportional to 1,120, 1,680.16 and 503.60

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Solution

The fourth proportional to 1,120, 1,680.16 and 503.60 is: 755.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120 : 1,680.16 = 503.60 : x
  2. Step 2: Convert to fraction form
    1,120/1,680.16 = 503.60/x
  3. Step 3: Cross multiply
    1,120x = 1,680.16 × 503.60
  4. Step 4: Simplify right side
    1,120x = 846,128.58
  5. Step 5: Solve for x
    x = 846,128.58/1,120
  6. Step 6: Final answer
    x = 755.47

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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.