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Finding the Fourth Proportional to 705.93, 973.15 and 495.47

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Solution

The fourth proportional to 705.93, 973.15 and 495.47 is: 683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.93 : 973.15 = 495.47 : x
  2. Step 2: Convert to fraction form
    705.93/973.15 = 495.47/x
  3. Step 3: Cross multiply
    705.93x = 973.15 × 495.47
  4. Step 4: Simplify right side
    705.93x = 482,166.63
  5. Step 5: Solve for x
    x = 482,166.63/705.93
  6. Step 6: Final answer
    x = 683.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.