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Finding the Fourth Proportional to 1,147.83, 1,583.16 and 705.96

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Solution

The fourth proportional to 1,147.83, 1,583.16 and 705.96 is: 973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.83 : 1,583.16 = 705.96 : x
  2. Step 2: Convert to fraction form
    1,147.83/1,583.16 = 705.96/x
  3. Step 3: Cross multiply
    1,147.83x = 1,583.16 × 705.96
  4. Step 4: Simplify right side
    1,147.83x = 1,117,647.63
  5. Step 5: Solve for x
    x = 1,117,647.63/1,147.83
  6. Step 6: Final answer
    x = 973.70

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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.