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Finding the Fourth Proportional to 1,342.84, 2,013.04 and 476.95

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Solution

The fourth proportional to 1,342.84, 2,013.04 and 476.95 is: 714.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.84 : 2,013.04 = 476.95 : x
  2. Step 2: Convert to fraction form
    1,342.84/2,013.04 = 476.95/x
  3. Step 3: Cross multiply
    1,342.84x = 2,013.04 × 476.95
  4. Step 4: Simplify right side
    1,342.84x = 960,114.99
  5. Step 5: Solve for x
    x = 960,114.99/1,342.84
  6. Step 6: Final answer
    x = 714.99

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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.