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Finding the Fourth Proportional to 1,121.32, 1,680.54 and 471.16

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Solution

The fourth proportional to 1,121.32, 1,680.54 and 471.16 is: 706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.32 : 1,680.54 = 471.16 : x
  2. Step 2: Convert to fraction form
    1,121.32/1,680.54 = 471.16/x
  3. Step 3: Cross multiply
    1,121.32x = 1,680.54 × 471.16
  4. Step 4: Simplify right side
    1,121.32x = 791,803.23
  5. Step 5: Solve for x
    x = 791,803.23/1,121.32
  6. Step 6: Final answer
    x = 706.13

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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.