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Finding the Fourth Proportional to 970.70, 1,454.90 and 558.98

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Solution

The fourth proportional to 970.70, 1,454.90 and 558.98 is: 837.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.70 : 1,454.90 = 558.98 : x
  2. Step 2: Convert to fraction form
    970.70/1,454.90 = 558.98/x
  3. Step 3: Cross multiply
    970.70x = 1,454.90 × 558.98
  4. Step 4: Simplify right side
    970.70x = 813,263.57
  5. Step 5: Solve for x
    x = 813,263.57/970.70
  6. Step 6: Final answer
    x = 837.81

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