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Finding the Fourth Proportional to 1,534.06, 2,300.73 and 438.58

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Solution

The fourth proportional to 1,534.06, 2,300.73 and 438.58 is: 657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.06 : 2,300.73 = 438.58 : x
  2. Step 2: Convert to fraction form
    1,534.06/2,300.73 = 438.58/x
  3. Step 3: Cross multiply
    1,534.06x = 2,300.73 × 438.58
  4. Step 4: Simplify right side
    1,534.06x = 1,009,054.16
  5. Step 5: Solve for x
    x = 1,009,054.16/1,534.06
  6. Step 6: Final answer
    x = 657.77

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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.