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Finding the Fourth Proportional to 990.48, 1,485.77 and 260.13

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Solution

The fourth proportional to 990.48, 1,485.77 and 260.13 is: 390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.48 : 1,485.77 = 260.13 : x
  2. Step 2: Convert to fraction form
    990.48/1,485.77 = 260.13/x
  3. Step 3: Cross multiply
    990.48x = 1,485.77 × 260.13
  4. Step 4: Simplify right side
    990.48x = 386,492.05
  5. Step 5: Solve for x
    x = 386,492.05/990.48
  6. Step 6: Final answer
    x = 390.21

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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.