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Finding the Fourth Proportional to 1,052.51, 1,577.64 and 503.53

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Solution

The fourth proportional to 1,052.51, 1,577.64 and 503.53 is: 754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.51 : 1,577.64 = 503.53 : x
  2. Step 2: Convert to fraction form
    1,052.51/1,577.64 = 503.53/x
  3. Step 3: Cross multiply
    1,052.51x = 1,577.64 × 503.53
  4. Step 4: Simplify right side
    1,052.51x = 794,389.07
  5. Step 5: Solve for x
    x = 794,389.07/1,052.51
  6. Step 6: Final answer
    x = 754.76

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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.