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Finding the Fourth Proportional to 653.66, 899.79 and 565.10

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Solution

The fourth proportional to 653.66, 899.79 and 565.10 is: 777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.66 : 899.79 = 565.10 : x
  2. Step 2: Convert to fraction form
    653.66/899.79 = 565.10/x
  3. Step 3: Cross multiply
    653.66x = 899.79 × 565.10
  4. Step 4: Simplify right side
    653.66x = 508,471.33
  5. Step 5: Solve for x
    x = 508,471.33/653.66
  6. Step 6: Final answer
    x = 777.88

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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.