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Finding the Fourth Proportional to 1,566.19, 2,349.83 and 470.53

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Solution

The fourth proportional to 1,566.19, 2,349.83 and 470.53 is: 705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.19 : 2,349.83 = 470.53 : x
  2. Step 2: Convert to fraction form
    1,566.19/2,349.83 = 470.53/x
  3. Step 3: Cross multiply
    1,566.19x = 2,349.83 × 470.53
  4. Step 4: Simplify right side
    1,566.19x = 1,105,665.51
  5. Step 5: Solve for x
    x = 1,105,665.51/1,566.19
  6. Step 6: Final answer
    x = 705.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.