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Finding the Fourth Proportional to 1,023.12, 1,412.06 and 761.88

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Solution

The fourth proportional to 1,023.12, 1,412.06 and 761.88 is: 1,051.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.12 : 1,412.06 = 761.88 : x
  2. Step 2: Convert to fraction form
    1,023.12/1,412.06 = 761.88/x
  3. Step 3: Cross multiply
    1,023.12x = 1,412.06 × 761.88
  4. Step 4: Simplify right side
    1,023.12x = 1,075,820.27
  5. Step 5: Solve for x
    x = 1,075,820.27/1,023.12
  6. Step 6: Final answer
    x = 1,051.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.