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Finding the Fourth Proportional to 1,115.08, 1,670.94 and 465.64

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Solution

The fourth proportional to 1,115.08, 1,670.94 and 465.64 is: 697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.08 : 1,670.94 = 465.64 : x
  2. Step 2: Convert to fraction form
    1,115.08/1,670.94 = 465.64/x
  3. Step 3: Cross multiply
    1,115.08x = 1,670.94 × 465.64
  4. Step 4: Simplify right side
    1,115.08x = 778,056.50
  5. Step 5: Solve for x
    x = 778,056.50/1,115.08
  6. Step 6: Final answer
    x = 697.76

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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.