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Finding the Fourth Proportional to 707.60, 976.66 and 471.56

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Solution

The fourth proportional to 707.60, 976.66 and 471.56 is: 650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.60 : 976.66 = 471.56 : x
  2. Step 2: Convert to fraction form
    707.60/976.66 = 471.56/x
  3. Step 3: Cross multiply
    707.60x = 976.66 × 471.56
  4. Step 4: Simplify right side
    707.60x = 460,547.73
  5. Step 5: Solve for x
    x = 460,547.73/707.60
  6. Step 6: Final answer
    x = 650.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.