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Finding the Fourth Proportional to 1,054.33, 1,579.88 and 532.88

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Solution

The fourth proportional to 1,054.33, 1,579.88 and 532.88 is: 798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.33 : 1,579.88 = 532.88 : x
  2. Step 2: Convert to fraction form
    1,054.33/1,579.88 = 532.88/x
  3. Step 3: Cross multiply
    1,054.33x = 1,579.88 × 532.88
  4. Step 4: Simplify right side
    1,054.33x = 841,875.89
  5. Step 5: Solve for x
    x = 841,875.89/1,054.33
  6. Step 6: Final answer
    x = 798.50

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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.