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Finding the Fourth Proportional to 684.96, 942.84 and 597.48

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Solution

The fourth proportional to 684.96, 942.84 and 597.48 is: 822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.96 : 942.84 = 597.48 : x
  2. Step 2: Convert to fraction form
    684.96/942.84 = 597.48/x
  3. Step 3: Cross multiply
    684.96x = 942.84 × 597.48
  4. Step 4: Simplify right side
    684.96x = 563,328.04
  5. Step 5: Solve for x
    x = 563,328.04/684.96
  6. Step 6: Final answer
    x = 822.42

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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.