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Finding the Fourth Proportional to 1,287.89, 1,931.38 and 557.07

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Solution

The fourth proportional to 1,287.89, 1,931.38 and 557.07 is: 835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.89 : 1,931.38 = 557.07 : x
  2. Step 2: Convert to fraction form
    1,287.89/1,931.38 = 557.07/x
  3. Step 3: Cross multiply
    1,287.89x = 1,931.38 × 557.07
  4. Step 4: Simplify right side
    1,287.89x = 1,075,913.86
  5. Step 5: Solve for x
    x = 1,075,913.86/1,287.89
  6. Step 6: Final answer
    x = 835.41

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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.