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Finding the Fourth Proportional to 1,140.33, 1,710.54 and 318.51

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Solution

The fourth proportional to 1,140.33, 1,710.54 and 318.51 is: 477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.33 : 1,710.54 = 318.51 : x
  2. Step 2: Convert to fraction form
    1,140.33/1,710.54 = 318.51/x
  3. Step 3: Cross multiply
    1,140.33x = 1,710.54 × 318.51
  4. Step 4: Simplify right side
    1,140.33x = 544,824.10
  5. Step 5: Solve for x
    x = 544,824.10/1,140.33
  6. Step 6: Final answer
    x = 477.78

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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.