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Finding the Fourth Proportional to 1,054.45, 1,582.01 and 506.67

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Solution

The fourth proportional to 1,054.45, 1,582.01 and 506.67 is: 760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.45 : 1,582.01 = 506.67 : x
  2. Step 2: Convert to fraction form
    1,054.45/1,582.01 = 506.67/x
  3. Step 3: Cross multiply
    1,054.45x = 1,582.01 × 506.67
  4. Step 4: Simplify right side
    1,054.45x = 801,558.27
  5. Step 5: Solve for x
    x = 801,558.27/1,054.45
  6. Step 6: Final answer
    x = 760.17

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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.