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Finding the Fourth Proportional to 1,021.48, 1,532.08 and 444.28

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Solution

The fourth proportional to 1,021.48, 1,532.08 and 444.28 is: 666.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.48 : 1,532.08 = 444.28 : x
  2. Step 2: Convert to fraction form
    1,021.48/1,532.08 = 444.28/x
  3. Step 3: Cross multiply
    1,021.48x = 1,532.08 × 444.28
  4. Step 4: Simplify right side
    1,021.48x = 680,672.50
  5. Step 5: Solve for x
    x = 680,672.50/1,021.48
  6. Step 6: Final answer
    x = 666.36

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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.