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Finding the Fourth Proportional to 655.70, 904.08 and 555.92

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Solution

The fourth proportional to 655.70, 904.08 and 555.92 is: 766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.70 : 904.08 = 555.92 : x
  2. Step 2: Convert to fraction form
    655.70/904.08 = 555.92/x
  3. Step 3: Cross multiply
    655.70x = 904.08 × 555.92
  4. Step 4: Simplify right side
    655.70x = 502,596.15
  5. Step 5: Solve for x
    x = 502,596.15/655.70
  6. Step 6: Final answer
    x = 766.50

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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.