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Finding the Fourth Proportional to 695.00, 1,038.43 and 670.78

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Solution

The fourth proportional to 695.00, 1,038.43 and 670.78 is: 1,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.00 : 1,038.43 = 670.78 : x
  2. Step 2: Convert to fraction form
    695.00/1,038.43 = 670.78/x
  3. Step 3: Cross multiply
    695.00x = 1,038.43 × 670.78
  4. Step 4: Simplify right side
    695.00x = 696,557.70
  5. Step 5: Solve for x
    x = 696,557.70/695.00
  6. Step 6: Final answer
    x = 1,002.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.