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Finding the Fourth Proportional to 1,037.02, 1,555.35 and 306.40

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Solution

The fourth proportional to 1,037.02, 1,555.35 and 306.40 is: 459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.02 : 1,555.35 = 306.40 : x
  2. Step 2: Convert to fraction form
    1,037.02/1,555.35 = 306.40/x
  3. Step 3: Cross multiply
    1,037.02x = 1,555.35 × 306.40
  4. Step 4: Simplify right side
    1,037.02x = 476,559.24
  5. Step 5: Solve for x
    x = 476,559.24/1,037.02
  6. Step 6: Final answer
    x = 459.55

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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.