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Finding the Fourth Proportional to 1,566.75, 2,349.96 and 470.87

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Solution

The fourth proportional to 1,566.75, 2,349.96 and 470.87 is: 706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.75 : 2,349.96 = 470.87 : x
  2. Step 2: Convert to fraction form
    1,566.75/2,349.96 = 470.87/x
  3. Step 3: Cross multiply
    1,566.75x = 2,349.96 × 470.87
  4. Step 4: Simplify right side
    1,566.75x = 1,106,513.92
  5. Step 5: Solve for x
    x = 1,106,513.92/1,566.75
  6. Step 6: Final answer
    x = 706.25

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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.