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Finding the Fourth Proportional to 1,354.42, 1,869.10 and 765.08

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Solution

The fourth proportional to 1,354.42, 1,869.10 and 765.08 is: 1,055.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.42 : 1,869.10 = 765.08 : x
  2. Step 2: Convert to fraction form
    1,354.42/1,869.10 = 765.08/x
  3. Step 3: Cross multiply
    1,354.42x = 1,869.10 × 765.08
  4. Step 4: Simplify right side
    1,354.42x = 1,430,011.03
  5. Step 5: Solve for x
    x = 1,430,011.03/1,354.42
  6. Step 6: Final answer
    x = 1,055.81

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