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Finding the Fourth Proportional to 764.71, 1,053 and 653.94

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Solution

The fourth proportional to 764.71, 1,053 and 653.94 is: 900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.71 : 1,053 = 653.94 : x
  2. Step 2: Convert to fraction form
    764.71/1,053 = 653.94/x
  3. Step 3: Cross multiply
    764.71x = 1,053 × 653.94
  4. Step 4: Simplify right side
    764.71x = 688,598.82
  5. Step 5: Solve for x
    x = 688,598.82/764.71
  6. Step 6: Final answer
    x = 900.47

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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.