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Finding the Fourth Proportional to 1,005.44, 1,508.16 and 356.64

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Solution

The fourth proportional to 1,005.44, 1,508.16 and 356.64 is: 534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.44 : 1,508.16 = 356.64 : x
  2. Step 2: Convert to fraction form
    1,005.44/1,508.16 = 356.64/x
  3. Step 3: Cross multiply
    1,005.44x = 1,508.16 × 356.64
  4. Step 4: Simplify right side
    1,005.44x = 537,870.18
  5. Step 5: Solve for x
    x = 537,870.18/1,005.44
  6. Step 6: Final answer
    x = 534.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.