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Finding the Fourth Proportional to 522.12, 777.85 and 489

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Solution

The fourth proportional to 522.12, 777.85 and 489 is: 728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.12 : 777.85 = 489 : x
  2. Step 2: Convert to fraction form
    522.12/777.85 = 489/x
  3. Step 3: Cross multiply
    522.12x = 777.85 × 489
  4. Step 4: Simplify right side
    522.12x = 380,368.65
  5. Step 5: Solve for x
    x = 380,368.65/522.12
  6. Step 6: Final answer
    x = 728.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.