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Finding the Fourth Proportional to 912.60, 1,258.74 and 563.40

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Solution

The fourth proportional to 912.60, 1,258.74 and 563.40 is: 777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.60 : 1,258.74 = 563.40 : x
  2. Step 2: Convert to fraction form
    912.60/1,258.74 = 563.40/x
  3. Step 3: Cross multiply
    912.60x = 1,258.74 × 563.40
  4. Step 4: Simplify right side
    912.60x = 709,174.12
  5. Step 5: Solve for x
    x = 709,174.12/912.60
  6. Step 6: Final answer
    x = 777.09

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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.