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Finding the Fourth Proportional to 904.11, 1,354.69 and 557.70

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Solution

The fourth proportional to 904.11, 1,354.69 and 557.70 is: 835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.11 : 1,354.69 = 557.70 : x
  2. Step 2: Convert to fraction form
    904.11/1,354.69 = 557.70/x
  3. Step 3: Cross multiply
    904.11x = 1,354.69 × 557.70
  4. Step 4: Simplify right side
    904.11x = 755,510.61
  5. Step 5: Solve for x
    x = 755,510.61/904.11
  6. Step 6: Final answer
    x = 835.64

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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.