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Finding the Fourth Proportional to 926.55, 1,389.51 and 464.22

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Solution

The fourth proportional to 926.55, 1,389.51 and 464.22 is: 696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.55 : 1,389.51 = 464.22 : x
  2. Step 2: Convert to fraction form
    926.55/1,389.51 = 464.22/x
  3. Step 3: Cross multiply
    926.55x = 1,389.51 × 464.22
  4. Step 4: Simplify right side
    926.55x = 645,038.33
  5. Step 5: Solve for x
    x = 645,038.33/926.55
  6. Step 6: Final answer
    x = 696.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.