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Finding the Fourth Proportional to 1,014.54, 1,400.00 and 589.13

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Solution

The fourth proportional to 1,014.54, 1,400.00 and 589.13 is: 812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.54 : 1,400.00 = 589.13 : x
  2. Step 2: Convert to fraction form
    1,014.54/1,400.00 = 589.13/x
  3. Step 3: Cross multiply
    1,014.54x = 1,400.00 × 589.13
  4. Step 4: Simplify right side
    1,014.54x = 824,777.30
  5. Step 5: Solve for x
    x = 824,777.30/1,014.54
  6. Step 6: Final answer
    x = 812.96

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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.