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Finding the Fourth Proportional to 1,037.65, 1,431.60 and 705.49

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Solution

The fourth proportional to 1,037.65, 1,431.60 and 705.49 is: 973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.65 : 1,431.60 = 705.49 : x
  2. Step 2: Convert to fraction form
    1,037.65/1,431.60 = 705.49/x
  3. Step 3: Cross multiply
    1,037.65x = 1,431.60 × 705.49
  4. Step 4: Simplify right side
    1,037.65x = 1,009,979.48
  5. Step 5: Solve for x
    x = 1,009,979.48/1,037.65
  6. Step 6: Final answer
    x = 973.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.