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Finding the Fourth Proportional to 985.66, 1,476.19 and 497.53

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Solution

The fourth proportional to 985.66, 1,476.19 and 497.53 is: 745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.66 : 1,476.19 = 497.53 : x
  2. Step 2: Convert to fraction form
    985.66/1,476.19 = 497.53/x
  3. Step 3: Cross multiply
    985.66x = 1,476.19 × 497.53
  4. Step 4: Simplify right side
    985.66x = 734,451.28
  5. Step 5: Solve for x
    x = 734,451.28/985.66
  6. Step 6: Final answer
    x = 745.14

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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.