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Finding the Fourth Proportional to 522.60, 787.00 and 454.94

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Solution

The fourth proportional to 522.60, 787.00 and 454.94 is: 685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.60 : 787.00 = 454.94 : x
  2. Step 2: Convert to fraction form
    522.60/787.00 = 454.94/x
  3. Step 3: Cross multiply
    522.60x = 787.00 × 454.94
  4. Step 4: Simplify right side
    522.60x = 358,037.77
  5. Step 5: Solve for x
    x = 358,037.77/522.60
  6. Step 6: Final answer
    x = 685.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.