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Finding the Fourth Proportional to 1,129.37, 1,558.53 and 632.00

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Solution

The fourth proportional to 1,129.37, 1,558.53 and 632.00 is: 872.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.37 : 1,558.53 = 632.00 : x
  2. Step 2: Convert to fraction form
    1,129.37/1,558.53 = 632.00/x
  3. Step 3: Cross multiply
    1,129.37x = 1,558.53 × 632.00
  4. Step 4: Simplify right side
    1,129.37x = 984,994.86
  5. Step 5: Solve for x
    x = 984,994.86/1,129.37
  6. Step 6: Final answer
    x = 872.17

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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.