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Finding the Fourth Proportional to 1,035.48, 1,551.16 and 485.99

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Solution

The fourth proportional to 1,035.48, 1,551.16 and 485.99 is: 728.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.48 : 1,551.16 = 485.99 : x
  2. Step 2: Convert to fraction form
    1,035.48/1,551.16 = 485.99/x
  3. Step 3: Cross multiply
    1,035.48x = 1,551.16 × 485.99
  4. Step 4: Simplify right side
    1,035.48x = 753,848.25
  5. Step 5: Solve for x
    x = 753,848.25/1,035.48
  6. Step 6: Final answer
    x = 728.02

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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.