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Finding the Fourth Proportional to 1,230, 1,844.99 and 498.77

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Solution

The fourth proportional to 1,230, 1,844.99 and 498.77 is: 748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230 : 1,844.99 = 498.77 : x
  2. Step 2: Convert to fraction form
    1,230/1,844.99 = 498.77/x
  3. Step 3: Cross multiply
    1,230x = 1,844.99 × 498.77
  4. Step 4: Simplify right side
    1,230x = 920,225.66
  5. Step 5: Solve for x
    x = 920,225.66/1,230
  6. Step 6: Final answer
    x = 748.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.