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Finding the Fourth Proportional to 1,130.34, 1,695.30 and 513.90

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Solution

The fourth proportional to 1,130.34, 1,695.30 and 513.90 is: 770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.34 : 1,695.30 = 513.90 : x
  2. Step 2: Convert to fraction form
    1,130.34/1,695.30 = 513.90/x
  3. Step 3: Cross multiply
    1,130.34x = 1,695.30 × 513.90
  4. Step 4: Simplify right side
    1,130.34x = 871,214.67
  5. Step 5: Solve for x
    x = 871,214.67/1,130.34
  6. Step 6: Final answer
    x = 770.75

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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.