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Finding the Fourth Proportional to 1,037.57, 1,564.13 and 968.83

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Solution

The fourth proportional to 1,037.57, 1,564.13 and 968.83 is: 1,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.57 : 1,564.13 = 968.83 : x
  2. Step 2: Convert to fraction form
    1,037.57/1,564.13 = 968.83/x
  3. Step 3: Cross multiply
    1,037.57x = 1,564.13 × 968.83
  4. Step 4: Simplify right side
    1,037.57x = 1,515,376.07
  5. Step 5: Solve for x
    x = 1,515,376.07/1,037.57
  6. Step 6: Final answer
    x = 1,460.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.