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Finding the Fourth Proportional to 1,017.41, 1,403.64 and 597.78

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Solution

The fourth proportional to 1,017.41, 1,403.64 and 597.78 is: 824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.41 : 1,403.64 = 597.78 : x
  2. Step 2: Convert to fraction form
    1,017.41/1,403.64 = 597.78/x
  3. Step 3: Cross multiply
    1,017.41x = 1,403.64 × 597.78
  4. Step 4: Simplify right side
    1,017.41x = 839,067.92
  5. Step 5: Solve for x
    x = 839,067.92/1,017.41
  6. Step 6: Final answer
    x = 824.71

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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.