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Finding the Fourth Proportional to 1,022.95, 1,411.62 and 568.67

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Solution

The fourth proportional to 1,022.95, 1,411.62 and 568.67 is: 784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.95 : 1,411.62 = 568.67 : x
  2. Step 2: Convert to fraction form
    1,022.95/1,411.62 = 568.67/x
  3. Step 3: Cross multiply
    1,022.95x = 1,411.62 × 568.67
  4. Step 4: Simplify right side
    1,022.95x = 802,749.47
  5. Step 5: Solve for x
    x = 802,749.47/1,022.95
  6. Step 6: Final answer
    x = 784.74

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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.