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Finding the Fourth Proportional to 1,014.76, 1,400.40 and 566.67

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Solution

The fourth proportional to 1,014.76, 1,400.40 and 566.67 is: 782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.76 : 1,400.40 = 566.67 : x
  2. Step 2: Convert to fraction form
    1,014.76/1,400.40 = 566.67/x
  3. Step 3: Cross multiply
    1,014.76x = 1,400.40 × 566.67
  4. Step 4: Simplify right side
    1,014.76x = 793,564.67
  5. Step 5: Solve for x
    x = 793,564.67/1,014.76
  6. Step 6: Final answer
    x = 782.02

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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.