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Finding the Fourth Proportional to 1,312.06, 1,968.18 and 446.08

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Solution

The fourth proportional to 1,312.06, 1,968.18 and 446.08 is: 669.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.06 : 1,968.18 = 446.08 : x
  2. Step 2: Convert to fraction form
    1,312.06/1,968.18 = 446.08/x
  3. Step 3: Cross multiply
    1,312.06x = 1,968.18 × 446.08
  4. Step 4: Simplify right side
    1,312.06x = 877,965.73
  5. Step 5: Solve for x
    x = 877,965.73/1,312.06
  6. Step 6: Final answer
    x = 669.15

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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.