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Finding the Fourth Proportional to 986.00, 1,477.95 and 498.02

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Solution

The fourth proportional to 986.00, 1,477.95 and 498.02 is: 746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.00 : 1,477.95 = 498.02 : x
  2. Step 2: Convert to fraction form
    986.00/1,477.95 = 498.02/x
  3. Step 3: Cross multiply
    986.00x = 1,477.95 × 498.02
  4. Step 4: Simplify right side
    986.00x = 736,041.27
  5. Step 5: Solve for x
    x = 736,041.27/986.00
  6. Step 6: Final answer
    x = 746.50

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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.