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Finding the Fourth Proportional to 970.02, 1,453.23 and 657.53

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Solution

The fourth proportional to 970.02, 1,453.23 and 657.53 is: 985.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.02 : 1,453.23 = 657.53 : x
  2. Step 2: Convert to fraction form
    970.02/1,453.23 = 657.53/x
  3. Step 3: Cross multiply
    970.02x = 1,453.23 × 657.53
  4. Step 4: Simplify right side
    970.02x = 955,535.06
  5. Step 5: Solve for x
    x = 955,535.06/970.02
  6. Step 6: Final answer
    x = 985.07

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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.