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Finding the Fourth Proportional to 683.37, 942.03 and 497.07

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Solution

The fourth proportional to 683.37, 942.03 and 497.07 is: 685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.37 : 942.03 = 497.07 : x
  2. Step 2: Convert to fraction form
    683.37/942.03 = 497.07/x
  3. Step 3: Cross multiply
    683.37x = 942.03 × 497.07
  4. Step 4: Simplify right side
    683.37x = 468,254.85
  5. Step 5: Solve for x
    x = 468,254.85/683.37
  6. Step 6: Final answer
    x = 685.21

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1.5x scale

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.