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Finding the Fourth Proportional to 848.40, 1,264.88 and 826.72

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Solution

The fourth proportional to 848.40, 1,264.88 and 826.72 is: 1,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.40 : 1,264.88 = 826.72 : x
  2. Step 2: Convert to fraction form
    848.40/1,264.88 = 826.72/x
  3. Step 3: Cross multiply
    848.40x = 1,264.88 × 826.72
  4. Step 4: Simplify right side
    848.40x = 1,045,701.59
  5. Step 5: Solve for x
    x = 1,045,701.59/848.40
  6. Step 6: Final answer
    x = 1,232.56

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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.