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Finding the Fourth Proportional to 1,086.34, 1,628.65 and 501.72

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Solution

The fourth proportional to 1,086.34, 1,628.65 and 501.72 is: 752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.34 : 1,628.65 = 501.72 : x
  2. Step 2: Convert to fraction form
    1,086.34/1,628.65 = 501.72/x
  3. Step 3: Cross multiply
    1,086.34x = 1,628.65 × 501.72
  4. Step 4: Simplify right side
    1,086.34x = 817,126.28
  5. Step 5: Solve for x
    x = 817,126.28/1,086.34
  6. Step 6: Final answer
    x = 752.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.