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Finding the Fourth Proportional to 707.03, 1,060.97 and 296.14

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Solution

The fourth proportional to 707.03, 1,060.97 and 296.14 is: 444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.03 : 1,060.97 = 296.14 : x
  2. Step 2: Convert to fraction form
    707.03/1,060.97 = 296.14/x
  3. Step 3: Cross multiply
    707.03x = 1,060.97 × 296.14
  4. Step 4: Simplify right side
    707.03x = 314,193.51
  5. Step 5: Solve for x
    x = 314,193.51/707.03
  6. Step 6: Final answer
    x = 444.38

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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.