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Finding the Fourth Proportional to 1,525.05, 2,287.56 and 429.72

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Solution

The fourth proportional to 1,525.05, 2,287.56 and 429.72 is: 644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.05 : 2,287.56 = 429.72 : x
  2. Step 2: Convert to fraction form
    1,525.05/2,287.56 = 429.72/x
  3. Step 3: Cross multiply
    1,525.05x = 2,287.56 × 429.72
  4. Step 4: Simplify right side
    1,525.05x = 983,010.28
  5. Step 5: Solve for x
    x = 983,010.28/1,525.05
  6. Step 6: Final answer
    x = 644.58

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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.