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Finding the Fourth Proportional to 1,037.55, 1,555.93 and 344.10

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Solution

The fourth proportional to 1,037.55, 1,555.93 and 344.10 is: 516.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.55 : 1,555.93 = 344.10 : x
  2. Step 2: Convert to fraction form
    1,037.55/1,555.93 = 344.10/x
  3. Step 3: Cross multiply
    1,037.55x = 1,555.93 × 344.10
  4. Step 4: Simplify right side
    1,037.55x = 535,395.51
  5. Step 5: Solve for x
    x = 535,395.51/1,037.55
  6. Step 6: Final answer
    x = 516.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.