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Finding the Fourth Proportional to 788.16, 1,087.52 and 512

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Solution

The fourth proportional to 788.16, 1,087.52 and 512 is: 706.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.16 : 1,087.52 = 512 : x
  2. Step 2: Convert to fraction form
    788.16/1,087.52 = 512/x
  3. Step 3: Cross multiply
    788.16x = 1,087.52 × 512
  4. Step 4: Simplify right side
    788.16x = 556,810.24
  5. Step 5: Solve for x
    x = 556,810.24/788.16
  6. Step 6: Final answer
    x = 706.47

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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.