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Finding the Fourth Proportional to 956.30, 1,319.74 and 536.76

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Solution

The fourth proportional to 956.30, 1,319.74 and 536.76 is: 740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.30 : 1,319.74 = 536.76 : x
  2. Step 2: Convert to fraction form
    956.30/1,319.74 = 536.76/x
  3. Step 3: Cross multiply
    956.30x = 1,319.74 × 536.76
  4. Step 4: Simplify right side
    956.30x = 708,382.30
  5. Step 5: Solve for x
    x = 708,382.30/956.30
  6. Step 6: Final answer
    x = 740.76

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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.