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Finding the Fourth Proportional to 1,577.76, 2,367.76 and 700.50

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Solution

The fourth proportional to 1,577.76, 2,367.76 and 700.50 is: 1,051.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.76 : 2,367.76 = 700.50 : x
  2. Step 2: Convert to fraction form
    1,577.76/2,367.76 = 700.50/x
  3. Step 3: Cross multiply
    1,577.76x = 2,367.76 × 700.50
  4. Step 4: Simplify right side
    1,577.76x = 1,658,615.88
  5. Step 5: Solve for x
    x = 1,658,615.88/1,577.76
  6. Step 6: Final answer
    x = 1,051.25

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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.