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Finding the Fourth Proportional to 1,095.28, 1,642.14 and 509.96

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Solution

The fourth proportional to 1,095.28, 1,642.14 and 509.96 is: 764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.28 : 1,642.14 = 509.96 : x
  2. Step 2: Convert to fraction form
    1,095.28/1,642.14 = 509.96/x
  3. Step 3: Cross multiply
    1,095.28x = 1,642.14 × 509.96
  4. Step 4: Simplify right side
    1,095.28x = 837,429.82
  5. Step 5: Solve for x
    x = 837,429.82/1,095.28
  6. Step 6: Final answer
    x = 764.58

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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.