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Finding the Fourth Proportional to 1,002.93, 1,504.46 and 386.36

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Solution

The fourth proportional to 1,002.93, 1,504.46 and 386.36 is: 579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.93 : 1,504.46 = 386.36 : x
  2. Step 2: Convert to fraction form
    1,002.93/1,504.46 = 386.36/x
  3. Step 3: Cross multiply
    1,002.93x = 1,504.46 × 386.36
  4. Step 4: Simplify right side
    1,002.93x = 581,267.89
  5. Step 5: Solve for x
    x = 581,267.89/1,002.93
  6. Step 6: Final answer
    x = 579.57

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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.