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Finding the Fourth Proportional to 985, 1,476.46 and 497.02

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Solution

The fourth proportional to 985, 1,476.46 and 497.02 is: 745.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    985 : 1,476.46 = 497.02 : x
  2. Step 2: Convert to fraction form
    985/1,476.46 = 497.02/x
  3. Step 3: Cross multiply
    985x = 1,476.46 × 497.02
  4. Step 4: Simplify right side
    985x = 733,830.15
  5. Step 5: Solve for x
    x = 733,830.15/985
  6. Step 6: Final answer
    x = 745.01

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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.