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Finding the Fourth Proportional to 1,395.31, 1,925.12 and 864.58

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Solution

The fourth proportional to 1,395.31, 1,925.12 and 864.58 is: 1,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.31 : 1,925.12 = 864.58 : x
  2. Step 2: Convert to fraction form
    1,395.31/1,925.12 = 864.58/x
  3. Step 3: Cross multiply
    1,395.31x = 1,925.12 × 864.58
  4. Step 4: Simplify right side
    1,395.31x = 1,664,421.76
  5. Step 5: Solve for x
    x = 1,664,421.76/1,395.31
  6. Step 6: Final answer
    x = 1,192.87

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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.