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Finding the Fourth Proportional to 653.82, 975.68 and 581.10

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Solution

The fourth proportional to 653.82, 975.68 and 581.10 is: 867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.82 : 975.68 = 581.10 : x
  2. Step 2: Convert to fraction form
    653.82/975.68 = 581.10/x
  3. Step 3: Cross multiply
    653.82x = 975.68 × 581.10
  4. Step 4: Simplify right side
    653.82x = 566,964.74
  5. Step 5: Solve for x
    x = 566,964.74/653.82
  6. Step 6: Final answer
    x = 867.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.