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Finding the Fourth Proportional to 794.96, 1,197.10 and 693.45

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Solution

The fourth proportional to 794.96, 1,197.10 and 693.45 is: 1,044.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.96 : 1,197.10 = 693.45 : x
  2. Step 2: Convert to fraction form
    794.96/1,197.10 = 693.45/x
  3. Step 3: Cross multiply
    794.96x = 1,197.10 × 693.45
  4. Step 4: Simplify right side
    794.96x = 830,127.26
  5. Step 5: Solve for x
    x = 830,127.26/794.96
  6. Step 6: Final answer
    x = 1,044.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.