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Finding the Fourth Proportional to 1,566.49, 2,349.74 and 470.86

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Solution

The fourth proportional to 1,566.49, 2,349.74 and 470.86 is: 706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.49 : 2,349.74 = 470.86 : x
  2. Step 2: Convert to fraction form
    1,566.49/2,349.74 = 470.86/x
  3. Step 3: Cross multiply
    1,566.49x = 2,349.74 × 470.86
  4. Step 4: Simplify right side
    1,566.49x = 1,106,398.58
  5. Step 5: Solve for x
    x = 1,106,398.58/1,566.49
  6. Step 6: Final answer
    x = 706.29

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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.