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Finding the Fourth Proportional to 1,444.83, 2,167.64 and 470.89

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Solution

The fourth proportional to 1,444.83, 2,167.64 and 470.89 is: 706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.83 : 2,167.64 = 470.89 : x
  2. Step 2: Convert to fraction form
    1,444.83/2,167.64 = 470.89/x
  3. Step 3: Cross multiply
    1,444.83x = 2,167.64 × 470.89
  4. Step 4: Simplify right side
    1,444.83x = 1,020,720.00
  5. Step 5: Solve for x
    x = 1,020,720.00/1,444.83
  6. Step 6: Final answer
    x = 706.46

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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.