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Finding the Fourth Proportional to 970.53, 1,454.41 and 559.77

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Solution

The fourth proportional to 970.53, 1,454.41 and 559.77 is: 838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.53 : 1,454.41 = 559.77 : x
  2. Step 2: Convert to fraction form
    970.53/1,454.41 = 559.77/x
  3. Step 3: Cross multiply
    970.53x = 1,454.41 × 559.77
  4. Step 4: Simplify right side
    970.53x = 814,135.09
  5. Step 5: Solve for x
    x = 814,135.09/970.53
  6. Step 6: Final answer
    x = 838.86

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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.