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Finding the Fourth Proportional to 1,065.65, 1,606.38 and 973.37

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Solution

The fourth proportional to 1,065.65, 1,606.38 and 973.37 is: 1,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.65 : 1,606.38 = 973.37 : x
  2. Step 2: Convert to fraction form
    1,065.65/1,606.38 = 973.37/x
  3. Step 3: Cross multiply
    1,065.65x = 1,606.38 × 973.37
  4. Step 4: Simplify right side
    1,065.65x = 1,563,602.10
  5. Step 5: Solve for x
    x = 1,563,602.10/1,065.65
  6. Step 6: Final answer
    x = 1,467.28

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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.