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Finding the Fourth Proportional to 1,363.42, 2,045.17 and 904.14

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Solution

The fourth proportional to 1,363.42, 2,045.17 and 904.14 is: 1,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.42 : 2,045.17 = 904.14 : x
  2. Step 2: Convert to fraction form
    1,363.42/2,045.17 = 904.14/x
  3. Step 3: Cross multiply
    1,363.42x = 2,045.17 × 904.14
  4. Step 4: Simplify right side
    1,363.42x = 1,849,120.00
  5. Step 5: Solve for x
    x = 1,849,120.00/1,363.42
  6. Step 6: Final answer
    x = 1,356.24

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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.