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Finding the Fourth Proportional to 1,094.64, 1,509.38 and 894.85

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Solution

The fourth proportional to 1,094.64, 1,509.38 and 894.85 is: 1,233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.64 : 1,509.38 = 894.85 : x
  2. Step 2: Convert to fraction form
    1,094.64/1,509.38 = 894.85/x
  3. Step 3: Cross multiply
    1,094.64x = 1,509.38 × 894.85
  4. Step 4: Simplify right side
    1,094.64x = 1,350,664.22
  5. Step 5: Solve for x
    x = 1,350,664.22/1,094.64
  6. Step 6: Final answer
    x = 1,233.89

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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.