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Finding the Fourth Proportional to 901.61, 1,354.58 and 577.61

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Solution

The fourth proportional to 901.61, 1,354.58 and 577.61 is: 867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.61 : 1,354.58 = 577.61 : x
  2. Step 2: Convert to fraction form
    901.61/1,354.58 = 577.61/x
  3. Step 3: Cross multiply
    901.61x = 1,354.58 × 577.61
  4. Step 4: Simplify right side
    901.61x = 782,416.07
  5. Step 5: Solve for x
    x = 782,416.07/901.61
  6. Step 6: Final answer
    x = 867.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.