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Finding the Fourth Proportional to 895.84, 1,346.16 and 782.96

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Solution

The fourth proportional to 895.84, 1,346.16 and 782.96 is: 1,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.84 : 1,346.16 = 782.96 : x
  2. Step 2: Convert to fraction form
    895.84/1,346.16 = 782.96/x
  3. Step 3: Cross multiply
    895.84x = 1,346.16 × 782.96
  4. Step 4: Simplify right side
    895.84x = 1,053,989.43
  5. Step 5: Solve for x
    x = 1,053,989.43/895.84
  6. Step 6: Final answer
    x = 1,176.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.