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Finding the Fourth Proportional to 1,013.58, 1,519.23 and 428.40

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Solution

The fourth proportional to 1,013.58, 1,519.23 and 428.40 is: 642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.58 : 1,519.23 = 428.40 : x
  2. Step 2: Convert to fraction form
    1,013.58/1,519.23 = 428.40/x
  3. Step 3: Cross multiply
    1,013.58x = 1,519.23 × 428.40
  4. Step 4: Simplify right side
    1,013.58x = 650,838.13
  5. Step 5: Solve for x
    x = 650,838.13/1,013.58
  6. Step 6: Final answer
    x = 642.12

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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.