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Finding the Fourth Proportional to 653.70, 900.78 and 537.06

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Solution

The fourth proportional to 653.70, 900.78 and 537.06 is: 740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.70 : 900.78 = 537.06 : x
  2. Step 2: Convert to fraction form
    653.70/900.78 = 537.06/x
  3. Step 3: Cross multiply
    653.70x = 900.78 × 537.06
  4. Step 4: Simplify right side
    653.70x = 483,772.91
  5. Step 5: Solve for x
    x = 483,772.91/653.70
  6. Step 6: Final answer
    x = 740.05

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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.