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Finding the Fourth Proportional to 770.02, 1,152.60 and 608.02

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Solution

The fourth proportional to 770.02, 1,152.60 and 608.02 is: 910.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.02 : 1,152.60 = 608.02 : x
  2. Step 2: Convert to fraction form
    770.02/1,152.60 = 608.02/x
  3. Step 3: Cross multiply
    770.02x = 1,152.60 × 608.02
  4. Step 4: Simplify right side
    770.02x = 700,803.85
  5. Step 5: Solve for x
    x = 700,803.85/770.02
  6. Step 6: Final answer
    x = 910.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.