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Finding the Fourth Proportional to 1,115.51, 1,673.86 and 457.87

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Solution

The fourth proportional to 1,115.51, 1,673.86 and 457.87 is: 687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.51 : 1,673.86 = 457.87 : x
  2. Step 2: Convert to fraction form
    1,115.51/1,673.86 = 457.87/x
  3. Step 3: Cross multiply
    1,115.51x = 1,673.86 × 457.87
  4. Step 4: Simplify right side
    1,115.51x = 766,407.99
  5. Step 5: Solve for x
    x = 766,407.99/1,115.51
  6. Step 6: Final answer
    x = 687.05

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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.