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Finding the Fourth Proportional to 848.64, 1,266 and 712.56

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Solution

The fourth proportional to 848.64, 1,266 and 712.56 is: 1,063.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.64 : 1,266 = 712.56 : x
  2. Step 2: Convert to fraction form
    848.64/1,266 = 712.56/x
  3. Step 3: Cross multiply
    848.64x = 1,266 × 712.56
  4. Step 4: Simplify right side
    848.64x = 902,100.96
  5. Step 5: Solve for x
    x = 902,100.96/848.64
  6. Step 6: Final answer
    x = 1,063.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.