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Finding the Fourth Proportional to 786.16, 1,084.74 and 506.32

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Solution

The fourth proportional to 786.16, 1,084.74 and 506.32 is: 698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.16 : 1,084.74 = 506.32 : x
  2. Step 2: Convert to fraction form
    786.16/1,084.74 = 506.32/x
  3. Step 3: Cross multiply
    786.16x = 1,084.74 × 506.32
  4. Step 4: Simplify right side
    786.16x = 549,225.56
  5. Step 5: Solve for x
    x = 549,225.56/786.16
  6. Step 6: Final answer
    x = 698.62

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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.