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Finding the Fourth Proportional to 770.64, 1,157.88 and 678.48

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Solution

The fourth proportional to 770.64, 1,157.88 and 678.48 is: 1,019.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.64 : 1,157.88 = 678.48 : x
  2. Step 2: Convert to fraction form
    770.64/1,157.88 = 678.48/x
  3. Step 3: Cross multiply
    770.64x = 1,157.88 × 678.48
  4. Step 4: Simplify right side
    770.64x = 785,598.42
  5. Step 5: Solve for x
    x = 785,598.42/770.64
  6. Step 6: Final answer
    x = 1,019.41

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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.