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Finding the Fourth Proportional to 1,312.59, 1,969.56 and 728.07

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Solution

The fourth proportional to 1,312.59, 1,969.56 and 728.07 is: 1,092.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.59 : 1,969.56 = 728.07 : x
  2. Step 2: Convert to fraction form
    1,312.59/1,969.56 = 728.07/x
  3. Step 3: Cross multiply
    1,312.59x = 1,969.56 × 728.07
  4. Step 4: Simplify right side
    1,312.59x = 1,433,977.55
  5. Step 5: Solve for x
    x = 1,433,977.55/1,312.59
  6. Step 6: Final answer
    x = 1,092.48

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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.