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Finding the Fourth Proportional to 1,318.79, 1,977.42 and 497.13

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Solution

The fourth proportional to 1,318.79, 1,977.42 and 497.13 is: 745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.79 : 1,977.42 = 497.13 : x
  2. Step 2: Convert to fraction form
    1,318.79/1,977.42 = 497.13/x
  3. Step 3: Cross multiply
    1,318.79x = 1,977.42 × 497.13
  4. Step 4: Simplify right side
    1,318.79x = 983,032.94
  5. Step 5: Solve for x
    x = 983,032.94/1,318.79
  6. Step 6: Final answer
    x = 745.40

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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.