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Finding the Fourth Proportional to 970.35, 1,454.45 and 753.39

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Solution

The fourth proportional to 970.35, 1,454.45 and 753.39 is: 1,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.35 : 1,454.45 = 753.39 : x
  2. Step 2: Convert to fraction form
    970.35/1,454.45 = 753.39/x
  3. Step 3: Cross multiply
    970.35x = 1,454.45 × 753.39
  4. Step 4: Simplify right side
    970.35x = 1,095,764.32
  5. Step 5: Solve for x
    x = 1,095,764.32/970.35
  6. Step 6: Final answer
    x = 1,129.25

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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.