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Finding the Fourth Proportional to 993.40, 1,488.07 and 471.82

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Solution

The fourth proportional to 993.40, 1,488.07 and 471.82 is: 706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.40 : 1,488.07 = 471.82 : x
  2. Step 2: Convert to fraction form
    993.40/1,488.07 = 471.82/x
  3. Step 3: Cross multiply
    993.40x = 1,488.07 × 471.82
  4. Step 4: Simplify right side
    993.40x = 702,101.19
  5. Step 5: Solve for x
    x = 702,101.19/993.40
  6. Step 6: Final answer
    x = 706.77

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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.