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Finding the Fourth Proportional to 912.03, 1,258.79 and 597.57

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Solution

The fourth proportional to 912.03, 1,258.79 and 597.57 is: 824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.03 : 1,258.79 = 597.57 : x
  2. Step 2: Convert to fraction form
    912.03/1,258.79 = 597.57/x
  3. Step 3: Cross multiply
    912.03x = 1,258.79 × 597.57
  4. Step 4: Simplify right side
    912.03x = 752,212.15
  5. Step 5: Solve for x
    x = 752,212.15/912.03
  6. Step 6: Final answer
    x = 824.77

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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.