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Finding the Fourth Proportional to 1,158.89, 1,598.67 and 785.88

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Solution

The fourth proportional to 1,158.89, 1,598.67 and 785.88 is: 1,084.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.89 : 1,598.67 = 785.88 : x
  2. Step 2: Convert to fraction form
    1,158.89/1,598.67 = 785.88/x
  3. Step 3: Cross multiply
    1,158.89x = 1,598.67 × 785.88
  4. Step 4: Simplify right side
    1,158.89x = 1,256,362.78
  5. Step 5: Solve for x
    x = 1,256,362.78/1,158.89
  6. Step 6: Final answer
    x = 1,084.11

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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.