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Finding the Fourth Proportional to 1,051.77, 1,577.97 and 612.93

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Solution

The fourth proportional to 1,051.77, 1,577.97 and 612.93 is: 919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.77 : 1,577.97 = 612.93 : x
  2. Step 2: Convert to fraction form
    1,051.77/1,577.97 = 612.93/x
  3. Step 3: Cross multiply
    1,051.77x = 1,577.97 × 612.93
  4. Step 4: Simplify right side
    1,051.77x = 967,185.15
  5. Step 5: Solve for x
    x = 967,185.15/1,051.77
  6. Step 6: Final answer
    x = 919.58

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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.