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Finding the Fourth Proportional to 1,533.96, 2,303.25 and 920.41

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Solution

The fourth proportional to 1,533.96, 2,303.25 and 920.41 is: 1,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.96 : 2,303.25 = 920.41 : x
  2. Step 2: Convert to fraction form
    1,533.96/2,303.25 = 920.41/x
  3. Step 3: Cross multiply
    1,533.96x = 2,303.25 × 920.41
  4. Step 4: Simplify right side
    1,533.96x = 2,119,943.26
  5. Step 5: Solve for x
    x = 2,119,943.26/1,533.96
  6. Step 6: Final answer
    x = 1,382.00

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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.