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Finding the Fourth Proportional to 1,050.56, 1,576.16 and 473.28

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Solution

The fourth proportional to 1,050.56, 1,576.16 and 473.28 is: 710.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.56 : 1,576.16 = 473.28 : x
  2. Step 2: Convert to fraction form
    1,050.56/1,576.16 = 473.28/x
  3. Step 3: Cross multiply
    1,050.56x = 1,576.16 × 473.28
  4. Step 4: Simplify right side
    1,050.56x = 745,965.00
  5. Step 5: Solve for x
    x = 745,965.00/1,050.56
  6. Step 6: Final answer
    x = 710.06

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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.