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Finding the Fourth Proportional to 710.07, 1,065.14 and 320.01

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Solution

The fourth proportional to 710.07, 1,065.14 and 320.01 is: 480.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.07 : 1,065.14 = 320.01 : x
  2. Step 2: Convert to fraction form
    710.07/1,065.14 = 320.01/x
  3. Step 3: Cross multiply
    710.07x = 1,065.14 × 320.01
  4. Step 4: Simplify right side
    710.07x = 340,853.85
  5. Step 5: Solve for x
    x = 340,853.85/710.07
  6. Step 6: Final answer
    x = 480.03

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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.