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Finding the Fourth Proportional to 1,193.55, 1,648.40 and 931.16

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Solution

The fourth proportional to 1,193.55, 1,648.40 and 931.16 is: 1,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.55 : 1,648.40 = 931.16 : x
  2. Step 2: Convert to fraction form
    1,193.55/1,648.40 = 931.16/x
  3. Step 3: Cross multiply
    1,193.55x = 1,648.40 × 931.16
  4. Step 4: Simplify right side
    1,193.55x = 1,534,911.25
  5. Step 5: Solve for x
    x = 1,534,911.25/1,193.55
  6. Step 6: Final answer
    x = 1,286.00

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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.