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Finding the Fourth Proportional to 1,566.91, 2,349.51 and 470.98

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Solution

The fourth proportional to 1,566.91, 2,349.51 and 470.98 is: 706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.91 : 2,349.51 = 470.98 : x
  2. Step 2: Convert to fraction form
    1,566.91/2,349.51 = 470.98/x
  3. Step 3: Cross multiply
    1,566.91x = 2,349.51 × 470.98
  4. Step 4: Simplify right side
    1,566.91x = 1,106,572.22
  5. Step 5: Solve for x
    x = 1,106,572.22/1,566.91
  6. Step 6: Final answer
    x = 706.21

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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.