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Finding the Fourth Proportional to 1,259.16, 1,889.16 and 609.96

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Solution

The fourth proportional to 1,259.16, 1,889.16 and 609.96 is: 915.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.16 : 1,889.16 = 609.96 : x
  2. Step 2: Convert to fraction form
    1,259.16/1,889.16 = 609.96/x
  3. Step 3: Cross multiply
    1,259.16x = 1,889.16 × 609.96
  4. Step 4: Simplify right side
    1,259.16x = 1,152,312.03
  5. Step 5: Solve for x
    x = 1,152,312.03/1,259.16
  6. Step 6: Final answer
    x = 915.14

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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.