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Finding the Fourth Proportional to 1,193.09, 1,646.47 and 661.98

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Solution

The fourth proportional to 1,193.09, 1,646.47 and 661.98 is: 913.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.09 : 1,646.47 = 661.98 : x
  2. Step 2: Convert to fraction form
    1,193.09/1,646.47 = 661.98/x
  3. Step 3: Cross multiply
    1,193.09x = 1,646.47 × 661.98
  4. Step 4: Simplify right side
    1,193.09x = 1,089,928.86
  5. Step 5: Solve for x
    x = 1,089,928.86/1,193.09
  6. Step 6: Final answer
    x = 913.54

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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.