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Finding the Fourth Proportional to 1,353.02, 2,028.14 and 530.16

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Solution

The fourth proportional to 1,353.02, 2,028.14 and 530.16 is: 794.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.02 : 2,028.14 = 530.16 : x
  2. Step 2: Convert to fraction form
    1,353.02/2,028.14 = 530.16/x
  3. Step 3: Cross multiply
    1,353.02x = 2,028.14 × 530.16
  4. Step 4: Simplify right side
    1,353.02x = 1,075,238.70
  5. Step 5: Solve for x
    x = 1,075,238.70/1,353.02
  6. Step 6: Final answer
    x = 794.70

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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.