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Finding the Fourth Proportional to 1,259.90, 1,890.40 and 529.64

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Solution

The fourth proportional to 1,259.90, 1,890.40 and 529.64 is: 794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.90 : 1,890.40 = 529.64 : x
  2. Step 2: Convert to fraction form
    1,259.90/1,890.40 = 529.64/x
  3. Step 3: Cross multiply
    1,259.90x = 1,890.40 × 529.64
  4. Step 4: Simplify right side
    1,259.90x = 1,001,231.46
  5. Step 5: Solve for x
    x = 1,001,231.46/1,259.90
  6. Step 6: Final answer
    x = 794.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.