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Finding the Fourth Proportional to 916.05, 1,264.14 and 566.67

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Solution

The fourth proportional to 916.05, 1,264.14 and 566.67 is: 782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.05 : 1,264.14 = 566.67 : x
  2. Step 2: Convert to fraction form
    916.05/1,264.14 = 566.67/x
  3. Step 3: Cross multiply
    916.05x = 1,264.14 × 566.67
  4. Step 4: Simplify right side
    916.05x = 716,350.21
  5. Step 5: Solve for x
    x = 716,350.21/916.05
  6. Step 6: Final answer
    x = 782.00

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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.