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Finding the Fourth Proportional to 1,444.65, 2,166.46 and 470.50

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Solution

The fourth proportional to 1,444.65, 2,166.46 and 470.50 is: 705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.65 : 2,166.46 = 470.50 : x
  2. Step 2: Convert to fraction form
    1,444.65/2,166.46 = 470.50/x
  3. Step 3: Cross multiply
    1,444.65x = 2,166.46 × 470.50
  4. Step 4: Simplify right side
    1,444.65x = 1,019,319.43
  5. Step 5: Solve for x
    x = 1,019,319.43/1,444.65
  6. Step 6: Final answer
    x = 705.58

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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.