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Finding the Fourth Proportional to 1,053, 1,579.74 and 322.50

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Solution

The fourth proportional to 1,053, 1,579.74 and 322.50 is: 483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053 : 1,579.74 = 322.50 : x
  2. Step 2: Convert to fraction form
    1,053/1,579.74 = 322.50/x
  3. Step 3: Cross multiply
    1,053x = 1,579.74 × 322.50
  4. Step 4: Simplify right side
    1,053x = 509,466.15
  5. Step 5: Solve for x
    x = 509,466.15/1,053
  6. Step 6: Final answer
    x = 483.82

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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.