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Finding the Fourth Proportional to 707.03, 974.81 and 473.75

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Solution

The fourth proportional to 707.03, 974.81 and 473.75 is: 653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.03 : 974.81 = 473.75 : x
  2. Step 2: Convert to fraction form
    707.03/974.81 = 473.75/x
  3. Step 3: Cross multiply
    707.03x = 974.81 × 473.75
  4. Step 4: Simplify right side
    707.03x = 461,813.87
  5. Step 5: Solve for x
    x = 461,813.87/707.03
  6. Step 6: Final answer
    x = 653.17

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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.