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Finding the Fourth Proportional to 1,035.96, 1,554.08 and 488.28

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Solution

The fourth proportional to 1,035.96, 1,554.08 and 488.28 is: 732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.96 : 1,554.08 = 488.28 : x
  2. Step 2: Convert to fraction form
    1,035.96/1,554.08 = 488.28/x
  3. Step 3: Cross multiply
    1,035.96x = 1,554.08 × 488.28
  4. Step 4: Simplify right side
    1,035.96x = 758,826.18
  5. Step 5: Solve for x
    x = 758,826.18/1,035.96
  6. Step 6: Final answer
    x = 732.49

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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.