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Finding the Fourth Proportional to 714.36, 984.78 and 507

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Solution

The fourth proportional to 714.36, 984.78 and 507 is: 698.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.36 : 984.78 = 507 : x
  2. Step 2: Convert to fraction form
    714.36/984.78 = 507/x
  3. Step 3: Cross multiply
    714.36x = 984.78 × 507
  4. Step 4: Simplify right side
    714.36x = 499,283.46
  5. Step 5: Solve for x
    x = 499,283.46/714.36
  6. Step 6: Final answer
    x = 698.92

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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.