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Finding the Fourth Proportional to 753.13, 1,130.64 and 445.19

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Solution

The fourth proportional to 753.13, 1,130.64 and 445.19 is: 668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.13 : 1,130.64 = 445.19 : x
  2. Step 2: Convert to fraction form
    753.13/1,130.64 = 445.19/x
  3. Step 3: Cross multiply
    753.13x = 1,130.64 × 445.19
  4. Step 4: Simplify right side
    753.13x = 503,347.40
  5. Step 5: Solve for x
    x = 503,347.40/753.13
  6. Step 6: Final answer
    x = 668.35

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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.