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Finding the Fourth Proportional to 1,043.32, 1,564.68 and 340.38

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Solution

The fourth proportional to 1,043.32, 1,564.68 and 340.38 is: 510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.32 : 1,564.68 = 340.38 : x
  2. Step 2: Convert to fraction form
    1,043.32/1,564.68 = 340.38/x
  3. Step 3: Cross multiply
    1,043.32x = 1,564.68 × 340.38
  4. Step 4: Simplify right side
    1,043.32x = 532,585.78
  5. Step 5: Solve for x
    x = 532,585.78/1,043.32
  6. Step 6: Final answer
    x = 510.47

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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.