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Finding the Fourth Proportional to 1,566, 2,349.18 and 470.52

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Solution

The fourth proportional to 1,566, 2,349.18 and 470.52 is: 705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566 : 2,349.18 = 470.52 : x
  2. Step 2: Convert to fraction form
    1,566/2,349.18 = 470.52/x
  3. Step 3: Cross multiply
    1,566x = 2,349.18 × 470.52
  4. Step 4: Simplify right side
    1,566x = 1,105,336.17
  5. Step 5: Solve for x
    x = 1,105,336.17/1,566
  6. Step 6: Final answer
    x = 705.83

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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.