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Finding the Fourth Proportional to 703.45, 970 and 504.19

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Solution

The fourth proportional to 703.45, 970 and 504.19 is: 695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.45 : 970 = 504.19 : x
  2. Step 2: Convert to fraction form
    703.45/970 = 504.19/x
  3. Step 3: Cross multiply
    703.45x = 970 × 504.19
  4. Step 4: Simplify right side
    703.45x = 489,064.30
  5. Step 5: Solve for x
    x = 489,064.30/703.45
  6. Step 6: Final answer
    x = 695.24

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Double scale
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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.