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Finding the Fourth Proportional to 1,147.56, 1,583.04 and 705.36

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Solution

The fourth proportional to 1,147.56, 1,583.04 and 705.36 is: 973.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.56 : 1,583.04 = 705.36 : x
  2. Step 2: Convert to fraction form
    1,147.56/1,583.04 = 705.36/x
  3. Step 3: Cross multiply
    1,147.56x = 1,583.04 × 705.36
  4. Step 4: Simplify right side
    1,147.56x = 1,116,613.09
  5. Step 5: Solve for x
    x = 1,116,613.09/1,147.56
  6. Step 6: Final answer
    x = 973.03

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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.