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Finding the Fourth Proportional to 1,115.51, 1,671.98 and 465.48

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Solution

The fourth proportional to 1,115.51, 1,671.98 and 465.48 is: 697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.51 : 1,671.98 = 465.48 : x
  2. Step 2: Convert to fraction form
    1,115.51/1,671.98 = 465.48/x
  3. Step 3: Cross multiply
    1,115.51x = 1,671.98 × 465.48
  4. Step 4: Simplify right side
    1,115.51x = 778,270.92
  5. Step 5: Solve for x
    x = 778,270.92/1,115.51
  6. Step 6: Final answer
    x = 697.68

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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.