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Finding the Fourth Proportional to 749.36, 1,033.74 and 500.36

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Solution

The fourth proportional to 749.36, 1,033.74 and 500.36 is: 690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.36 : 1,033.74 = 500.36 : x
  2. Step 2: Convert to fraction form
    749.36/1,033.74 = 500.36/x
  3. Step 3: Cross multiply
    749.36x = 1,033.74 × 500.36
  4. Step 4: Simplify right side
    749.36x = 517,242.15
  5. Step 5: Solve for x
    x = 517,242.15/749.36
  6. Step 6: Final answer
    x = 690.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.