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Finding the Fourth Proportional to 1,528.64, 2,292.54 and 707.30

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Solution

The fourth proportional to 1,528.64, 2,292.54 and 707.30 is: 1,060.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.64 : 2,292.54 = 707.30 : x
  2. Step 2: Convert to fraction form
    1,528.64/2,292.54 = 707.30/x
  3. Step 3: Cross multiply
    1,528.64x = 2,292.54 × 707.30
  4. Step 4: Simplify right side
    1,528.64x = 1,621,513.54
  5. Step 5: Solve for x
    x = 1,621,513.54/1,528.64
  6. Step 6: Final answer
    x = 1,060.76

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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.