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Finding the Fourth Proportional to 1,228.62, 1,842.10 and 525.45

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Solution

The fourth proportional to 1,228.62, 1,842.10 and 525.45 is: 787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.62 : 1,842.10 = 525.45 : x
  2. Step 2: Convert to fraction form
    1,228.62/1,842.10 = 525.45/x
  3. Step 3: Cross multiply
    1,228.62x = 1,842.10 × 525.45
  4. Step 4: Simplify right side
    1,228.62x = 967,931.45
  5. Step 5: Solve for x
    x = 967,931.45/1,228.62
  6. Step 6: Final answer
    x = 787.82

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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.