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Finding the Fourth Proportional to 753.40, 1,130.08 and 387.98

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Solution

The fourth proportional to 753.40, 1,130.08 and 387.98 is: 581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.40 : 1,130.08 = 387.98 : x
  2. Step 2: Convert to fraction form
    753.40/1,130.08 = 387.98/x
  3. Step 3: Cross multiply
    753.40x = 1,130.08 × 387.98
  4. Step 4: Simplify right side
    753.40x = 438,448.44
  5. Step 5: Solve for x
    x = 438,448.44/753.40
  6. Step 6: Final answer
    x = 581.96

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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.