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Finding the Fourth Proportional to 1,051.44, 1,576 and 530.40

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Solution

The fourth proportional to 1,051.44, 1,576 and 530.40 is: 795.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.44 : 1,576 = 530.40 : x
  2. Step 2: Convert to fraction form
    1,051.44/1,576 = 530.40/x
  3. Step 3: Cross multiply
    1,051.44x = 1,576 × 530.40
  4. Step 4: Simplify right side
    1,051.44x = 835,910.40
  5. Step 5: Solve for x
    x = 835,910.40/1,051.44
  6. Step 6: Final answer
    x = 795.01

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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.