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Finding the Fourth Proportional to 1,341.34, 2,012.08 and 463.94

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Solution

The fourth proportional to 1,341.34, 2,012.08 and 463.94 is: 695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.34 : 2,012.08 = 463.94 : x
  2. Step 2: Convert to fraction form
    1,341.34/2,012.08 = 463.94/x
  3. Step 3: Cross multiply
    1,341.34x = 2,012.08 × 463.94
  4. Step 4: Simplify right side
    1,341.34x = 933,484.40
  5. Step 5: Solve for x
    x = 933,484.40/1,341.34
  6. Step 6: Final answer
    x = 695.93

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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.