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Finding the Fourth Proportional to 1,126.68, 1,688.41 and 509.32

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Solution

The fourth proportional to 1,126.68, 1,688.41 and 509.32 is: 763.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.68 : 1,688.41 = 509.32 : x
  2. Step 2: Convert to fraction form
    1,126.68/1,688.41 = 509.32/x
  3. Step 3: Cross multiply
    1,126.68x = 1,688.41 × 509.32
  4. Step 4: Simplify right side
    1,126.68x = 859,943.73
  5. Step 5: Solve for x
    x = 859,943.73/1,126.68
  6. Step 6: Final answer
    x = 763.26

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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.