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Finding the Fourth Proportional to 1,004.93, 1,507.38 and 355.66

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Solution

The fourth proportional to 1,004.93, 1,507.38 and 355.66 is: 533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.93 : 1,507.38 = 355.66 : x
  2. Step 2: Convert to fraction form
    1,004.93/1,507.38 = 355.66/x
  3. Step 3: Cross multiply
    1,004.93x = 1,507.38 × 355.66
  4. Step 4: Simplify right side
    1,004.93x = 536,114.77
  5. Step 5: Solve for x
    x = 536,114.77/1,004.93
  6. Step 6: Final answer
    x = 533.48

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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.