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Finding the Fourth Proportional to 970.65, 1,452.56 and 605.61

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Solution

The fourth proportional to 970.65, 1,452.56 and 605.61 is: 906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.65 : 1,452.56 = 605.61 : x
  2. Step 2: Convert to fraction form
    970.65/1,452.56 = 605.61/x
  3. Step 3: Cross multiply
    970.65x = 1,452.56 × 605.61
  4. Step 4: Simplify right side
    970.65x = 879,681.83
  5. Step 5: Solve for x
    x = 879,681.83/970.65
  6. Step 6: Final answer
    x = 906.28

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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.