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Finding the Fourth Proportional to 647.22, 971.84 and 524.30

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Solution

The fourth proportional to 647.22, 971.84 and 524.30 is: 787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.22 : 971.84 = 524.30 : x
  2. Step 2: Convert to fraction form
    647.22/971.84 = 524.30/x
  3. Step 3: Cross multiply
    647.22x = 971.84 × 524.30
  4. Step 4: Simplify right side
    647.22x = 509,535.71
  5. Step 5: Solve for x
    x = 509,535.71/647.22
  6. Step 6: Final answer
    x = 787.27

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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.