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Finding the Fourth Proportional to 700.04, 965.03 and 500.75

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Solution

The fourth proportional to 700.04, 965.03 and 500.75 is: 690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.04 : 965.03 = 500.75 : x
  2. Step 2: Convert to fraction form
    700.04/965.03 = 500.75/x
  3. Step 3: Cross multiply
    700.04x = 965.03 × 500.75
  4. Step 4: Simplify right side
    700.04x = 483,238.77
  5. Step 5: Solve for x
    x = 483,238.77/700.04
  6. Step 6: Final answer
    x = 690.30

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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.