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Finding the Fourth Proportional to 1,043.32, 1,562.94 and 924.28

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Solution

The fourth proportional to 1,043.32, 1,562.94 and 924.28 is: 1,384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.32 : 1,562.94 = 924.28 : x
  2. Step 2: Convert to fraction form
    1,043.32/1,562.94 = 924.28/x
  3. Step 3: Cross multiply
    1,043.32x = 1,562.94 × 924.28
  4. Step 4: Simplify right side
    1,043.32x = 1,444,594.18
  5. Step 5: Solve for x
    x = 1,444,594.18/1,043.32
  6. Step 6: Final answer
    x = 1,384.61

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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.