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Finding the Fourth Proportional to 1,005.02, 1,507.43 and 346.83

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Solution

The fourth proportional to 1,005.02, 1,507.43 and 346.83 is: 520.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.02 : 1,507.43 = 346.83 : x
  2. Step 2: Convert to fraction form
    1,005.02/1,507.43 = 346.83/x
  3. Step 3: Cross multiply
    1,005.02x = 1,507.43 × 346.83
  4. Step 4: Simplify right side
    1,005.02x = 522,820.21
  5. Step 5: Solve for x
    x = 522,820.21/1,005.02
  6. Step 6: Final answer
    x = 520.21

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1.5x scale

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.