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Finding the Fourth Proportional to 895.83, 1,235.01 and 772.80

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Solution

The fourth proportional to 895.83, 1,235.01 and 772.80 is: 1,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.83 : 1,235.01 = 772.80 : x
  2. Step 2: Convert to fraction form
    895.83/1,235.01 = 772.80/x
  3. Step 3: Cross multiply
    895.83x = 1,235.01 × 772.80
  4. Step 4: Simplify right side
    895.83x = 954,415.73
  5. Step 5: Solve for x
    x = 954,415.73/895.83
  6. Step 6: Final answer
    x = 1,065.40

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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.