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Finding the Fourth Proportional to 700.95, 967.53 and 562.05

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Solution

The fourth proportional to 700.95, 967.53 and 562.05 is: 775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.95 : 967.53 = 562.05 : x
  2. Step 2: Convert to fraction form
    700.95/967.53 = 562.05/x
  3. Step 3: Cross multiply
    700.95x = 967.53 × 562.05
  4. Step 4: Simplify right side
    700.95x = 543,800.24
  5. Step 5: Solve for x
    x = 543,800.24/700.95
  6. Step 6: Final answer
    x = 775.80

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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.