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Finding the Fourth Proportional to 1,188.29, 1,782.54 and 595.10

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Solution

The fourth proportional to 1,188.29, 1,782.54 and 595.10 is: 892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.29 : 1,782.54 = 595.10 : x
  2. Step 2: Convert to fraction form
    1,188.29/1,782.54 = 595.10/x
  3. Step 3: Cross multiply
    1,188.29x = 1,782.54 × 595.10
  4. Step 4: Simplify right side
    1,188.29x = 1,060,794.01
  5. Step 5: Solve for x
    x = 1,060,794.01/1,188.29
  6. Step 6: Final answer
    x = 892.70

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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.