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Finding the Fourth Proportional to 896.16, 1,345.20 and 705.12

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Solution

The fourth proportional to 896.16, 1,345.20 and 705.12 is: 1,058.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.16 : 1,345.20 = 705.12 : x
  2. Step 2: Convert to fraction form
    896.16/1,345.20 = 705.12/x
  3. Step 3: Cross multiply
    896.16x = 1,345.20 × 705.12
  4. Step 4: Simplify right side
    896.16x = 948,527.42
  5. Step 5: Solve for x
    x = 948,527.42/896.16
  6. Step 6: Final answer
    x = 1,058.44

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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.