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Finding the Fourth Proportional to 1,054.17, 1,579.21 and 532.64

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Solution

The fourth proportional to 1,054.17, 1,579.21 and 532.64 is: 797.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.17 : 1,579.21 = 532.64 : x
  2. Step 2: Convert to fraction form
    1,054.17/1,579.21 = 532.64/x
  3. Step 3: Cross multiply
    1,054.17x = 1,579.21 × 532.64
  4. Step 4: Simplify right side
    1,054.17x = 841,141.19
  5. Step 5: Solve for x
    x = 841,141.19/1,054.17
  6. Step 6: Final answer
    x = 797.92

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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.