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Finding the Fourth Proportional to 1,303.72, 1,798.68 and 743.78

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Solution

The fourth proportional to 1,303.72, 1,798.68 and 743.78 is: 1,026.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.72 : 1,798.68 = 743.78 : x
  2. Step 2: Convert to fraction form
    1,303.72/1,798.68 = 743.78/x
  3. Step 3: Cross multiply
    1,303.72x = 1,798.68 × 743.78
  4. Step 4: Simplify right side
    1,303.72x = 1,337,829.50
  5. Step 5: Solve for x
    x = 1,337,829.50/1,303.72
  6. Step 6: Final answer
    x = 1,026.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.