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Finding the Fourth Proportional to 1,064.08, 1,466.40 and 753.04

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Solution

The fourth proportional to 1,064.08, 1,466.40 and 753.04 is: 1,037.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.08 : 1,466.40 = 753.04 : x
  2. Step 2: Convert to fraction form
    1,064.08/1,466.40 = 753.04/x
  3. Step 3: Cross multiply
    1,064.08x = 1,466.40 × 753.04
  4. Step 4: Simplify right side
    1,064.08x = 1,104,257.86
  5. Step 5: Solve for x
    x = 1,104,257.86/1,064.08
  6. Step 6: Final answer
    x = 1,037.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.