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Finding the Fourth Proportional to 770.65, 1,063.68 and 476.14

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Solution

The fourth proportional to 770.65, 1,063.68 and 476.14 is: 657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.65 : 1,063.68 = 476.14 : x
  2. Step 2: Convert to fraction form
    770.65/1,063.68 = 476.14/x
  3. Step 3: Cross multiply
    770.65x = 1,063.68 × 476.14
  4. Step 4: Simplify right side
    770.65x = 506,460.60
  5. Step 5: Solve for x
    x = 506,460.60/770.65
  6. Step 6: Final answer
    x = 657.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.