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Finding the Fourth Proportional to 787.53, 1,180.59 and 397.02

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Solution

The fourth proportional to 787.53, 1,180.59 and 397.02 is: 595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.53 : 1,180.59 = 397.02 : x
  2. Step 2: Convert to fraction form
    787.53/1,180.59 = 397.02/x
  3. Step 3: Cross multiply
    787.53x = 1,180.59 × 397.02
  4. Step 4: Simplify right side
    787.53x = 468,717.84
  5. Step 5: Solve for x
    x = 468,717.84/787.53
  6. Step 6: Final answer
    x = 595.17

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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.