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Finding the Fourth Proportional to 770.25, 1,154.67 and 282.93

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Solution

The fourth proportional to 770.25, 1,154.67 and 282.93 is: 424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.25 : 1,154.67 = 282.93 : x
  2. Step 2: Convert to fraction form
    770.25/1,154.67 = 282.93/x
  3. Step 3: Cross multiply
    770.25x = 1,154.67 × 282.93
  4. Step 4: Simplify right side
    770.25x = 326,690.78
  5. Step 5: Solve for x
    x = 326,690.78/770.25
  6. Step 6: Final answer
    x = 424.14

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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.