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Finding the Fourth Proportional to 1,004.35, 1,506.72 and 346.21

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Solution

The fourth proportional to 1,004.35, 1,506.72 and 346.21 is: 519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.35 : 1,506.72 = 346.21 : x
  2. Step 2: Convert to fraction form
    1,004.35/1,506.72 = 346.21/x
  3. Step 3: Cross multiply
    1,004.35x = 1,506.72 × 346.21
  4. Step 4: Simplify right side
    1,004.35x = 521,637.12
  5. Step 5: Solve for x
    x = 521,637.12/1,004.35
  6. Step 6: Final answer
    x = 519.38

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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.