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Finding the Fourth Proportional to 1,566.66, 2,349.41 and 470.65

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Solution

The fourth proportional to 1,566.66, 2,349.41 and 470.65 is: 705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.66 : 2,349.41 = 470.65 : x
  2. Step 2: Convert to fraction form
    1,566.66/2,349.41 = 470.65/x
  3. Step 3: Cross multiply
    1,566.66x = 2,349.41 × 470.65
  4. Step 4: Simplify right side
    1,566.66x = 1,105,749.82
  5. Step 5: Solve for x
    x = 1,105,749.82/1,566.66
  6. Step 6: Final answer
    x = 705.80

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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.