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Finding the Fourth Proportional to 949.08, 1,421.80 and 537.00

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Solution

The fourth proportional to 949.08, 1,421.80 and 537.00 is: 804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.08 : 1,421.80 = 537.00 : x
  2. Step 2: Convert to fraction form
    949.08/1,421.80 = 537.00/x
  3. Step 3: Cross multiply
    949.08x = 1,421.80 × 537.00
  4. Step 4: Simplify right side
    949.08x = 763,502.95
  5. Step 5: Solve for x
    x = 763,502.95/949.08
  6. Step 6: Final answer
    x = 804.46

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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.