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Finding the Fourth Proportional to 1,088.10, 1,630.74 and 471.62

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Solution

The fourth proportional to 1,088.10, 1,630.74 and 471.62 is: 706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.10 : 1,630.74 = 471.62 : x
  2. Step 2: Convert to fraction form
    1,088.10/1,630.74 = 471.62/x
  3. Step 3: Cross multiply
    1,088.10x = 1,630.74 × 471.62
  4. Step 4: Simplify right side
    1,088.10x = 769,089.60
  5. Step 5: Solve for x
    x = 769,089.60/1,088.10
  6. Step 6: Final answer
    x = 706.82

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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.