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Finding the Fourth Proportional to 1,395.77, 1,925.78 and 899.10

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Solution

The fourth proportional to 1,395.77, 1,925.78 and 899.10 is: 1,240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.77 : 1,925.78 = 899.10 : x
  2. Step 2: Convert to fraction form
    1,395.77/1,925.78 = 899.10/x
  3. Step 3: Cross multiply
    1,395.77x = 1,925.78 × 899.10
  4. Step 4: Simplify right side
    1,395.77x = 1,731,464.30
  5. Step 5: Solve for x
    x = 1,731,464.30/1,395.77
  6. Step 6: Final answer
    x = 1,240.51

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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.