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Finding the Fourth Proportional to 770.08, 1,153.68 and 597.28

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Solution

The fourth proportional to 770.08, 1,153.68 and 597.28 is: 894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.08 : 1,153.68 = 597.28 : x
  2. Step 2: Convert to fraction form
    770.08/1,153.68 = 597.28/x
  3. Step 3: Cross multiply
    770.08x = 1,153.68 × 597.28
  4. Step 4: Simplify right side
    770.08x = 689,069.99
  5. Step 5: Solve for x
    x = 689,069.99/770.08
  6. Step 6: Final answer
    x = 894.80

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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.