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Finding the Fourth Proportional to 1,129.85, 1,558.07 and 973.01

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Solution

The fourth proportional to 1,129.85, 1,558.07 and 973.01 is: 1,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.85 : 1,558.07 = 973.01 : x
  2. Step 2: Convert to fraction form
    1,129.85/1,558.07 = 973.01/x
  3. Step 3: Cross multiply
    1,129.85x = 1,558.07 × 973.01
  4. Step 4: Simplify right side
    1,129.85x = 1,516,020.37
  5. Step 5: Solve for x
    x = 1,516,020.37/1,129.85
  6. Step 6: Final answer
    x = 1,341.79

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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.