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Finding the Fourth Proportional to 970.26, 1,454.52 and 476.40

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Solution

The fourth proportional to 970.26, 1,454.52 and 476.40 is: 714.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.26 : 1,454.52 = 476.40 : x
  2. Step 2: Convert to fraction form
    970.26/1,454.52 = 476.40/x
  3. Step 3: Cross multiply
    970.26x = 1,454.52 × 476.40
  4. Step 4: Simplify right side
    970.26x = 692,933.33
  5. Step 5: Solve for x
    x = 692,933.33/970.26
  6. Step 6: Final answer
    x = 714.17

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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.