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Finding the Fourth Proportional to 1,095.52, 1,643.28 and 864.16

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Solution

The fourth proportional to 1,095.52, 1,643.28 and 864.16 is: 1,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.52 : 1,643.28 = 864.16 : x
  2. Step 2: Convert to fraction form
    1,095.52/1,643.28 = 864.16/x
  3. Step 3: Cross multiply
    1,095.52x = 1,643.28 × 864.16
  4. Step 4: Simplify right side
    1,095.52x = 1,420,056.84
  5. Step 5: Solve for x
    x = 1,420,056.84/1,095.52
  6. Step 6: Final answer
    x = 1,296.24

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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.