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Finding the Fourth Proportional to 1,477.92, 2,214 and 829.10

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Solution

The fourth proportional to 1,477.92, 2,214 and 829.10 is: 1,242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.92 : 2,214 = 829.10 : x
  2. Step 2: Convert to fraction form
    1,477.92/2,214 = 829.10/x
  3. Step 3: Cross multiply
    1,477.92x = 2,214 × 829.10
  4. Step 4: Simplify right side
    1,477.92x = 1,835,627.40
  5. Step 5: Solve for x
    x = 1,835,627.40/1,477.92
  6. Step 6: Final answer
    x = 1,242.03

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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.