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Finding the Fourth Proportional to 656.66, 983.50 and 509.23

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Solution

The fourth proportional to 656.66, 983.50 and 509.23 is: 762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.66 : 983.50 = 509.23 : x
  2. Step 2: Convert to fraction form
    656.66/983.50 = 509.23/x
  3. Step 3: Cross multiply
    656.66x = 983.50 × 509.23
  4. Step 4: Simplify right side
    656.66x = 500,823.97
  5. Step 5: Solve for x
    x = 500,823.97/656.66
  6. Step 6: Final answer
    x = 762.69

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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.