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Finding the Fourth Proportional to 1,318.86, 1,977.84 and 497.07

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Solution

The fourth proportional to 1,318.86, 1,977.84 and 497.07 is: 745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.86 : 1,977.84 = 497.07 : x
  2. Step 2: Convert to fraction form
    1,318.86/1,977.84 = 497.07/x
  3. Step 3: Cross multiply
    1,318.86x = 1,977.84 × 497.07
  4. Step 4: Simplify right side
    1,318.86x = 983,124.93
  5. Step 5: Solve for x
    x = 983,124.93/1,318.86
  6. Step 6: Final answer
    x = 745.44

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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.