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Finding the Fourth Proportional to 1,063.87, 1,469.48 and 1,025.93

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Solution

The fourth proportional to 1,063.87, 1,469.48 and 1,025.93 is: 1,417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.87 : 1,469.48 = 1,025.93 : x
  2. Step 2: Convert to fraction form
    1,063.87/1,469.48 = 1,025.93/x
  3. Step 3: Cross multiply
    1,063.87x = 1,469.48 × 1,025.93
  4. Step 4: Simplify right side
    1,063.87x = 1,507,582.16
  5. Step 5: Solve for x
    x = 1,507,582.16/1,063.87
  6. Step 6: Final answer
    x = 1,417.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.