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Finding the Fourth Proportional to 1,130.14, 1,703.67 and 1,054.87

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Solution

The fourth proportional to 1,130.14, 1,703.67 and 1,054.87 is: 1,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.14 : 1,703.67 = 1,054.87 : x
  2. Step 2: Convert to fraction form
    1,130.14/1,703.67 = 1,054.87/x
  3. Step 3: Cross multiply
    1,130.14x = 1,703.67 × 1,054.87
  4. Step 4: Simplify right side
    1,130.14x = 1,797,150.37
  5. Step 5: Solve for x
    x = 1,797,150.37/1,130.14
  6. Step 6: Final answer
    x = 1,590.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.