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Finding the Fourth Proportional to 1,013.64, 1,518.44 and 465.08

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Solution

The fourth proportional to 1,013.64, 1,518.44 and 465.08 is: 696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.64 : 1,518.44 = 465.08 : x
  2. Step 2: Convert to fraction form
    1,013.64/1,518.44 = 465.08/x
  3. Step 3: Cross multiply
    1,013.64x = 1,518.44 × 465.08
  4. Step 4: Simplify right side
    1,013.64x = 706,186.16
  5. Step 5: Solve for x
    x = 706,186.16/1,013.64
  6. Step 6: Final answer
    x = 696.68

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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.