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Finding the Fourth Proportional to 1,064.25, 1,593.30 and 953.10

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Solution

The fourth proportional to 1,064.25, 1,593.30 and 953.10 is: 1,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.25 : 1,593.30 = 953.10 : x
  2. Step 2: Convert to fraction form
    1,064.25/1,593.30 = 953.10/x
  3. Step 3: Cross multiply
    1,064.25x = 1,593.30 × 953.10
  4. Step 4: Simplify right side
    1,064.25x = 1,518,574.23
  5. Step 5: Solve for x
    x = 1,518,574.23/1,064.25
  6. Step 6: Final answer
    x = 1,426.90

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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.