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Finding the Fourth Proportional to 1,051.93, 1,576.54 and 436.06

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Solution

The fourth proportional to 1,051.93, 1,576.54 and 436.06 is: 653.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.93 : 1,576.54 = 436.06 : x
  2. Step 2: Convert to fraction form
    1,051.93/1,576.54 = 436.06/x
  3. Step 3: Cross multiply
    1,051.93x = 1,576.54 × 436.06
  4. Step 4: Simplify right side
    1,051.93x = 687,455.97
  5. Step 5: Solve for x
    x = 687,455.97/1,051.93
  6. Step 6: Final answer
    x = 653.52

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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.