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Finding the Fourth Proportional to 1,533.95, 2,298.59 and 701.07

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Solution

The fourth proportional to 1,533.95, 2,298.59 and 701.07 is: 1,050.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.95 : 2,298.59 = 701.07 : x
  2. Step 2: Convert to fraction form
    1,533.95/2,298.59 = 701.07/x
  3. Step 3: Cross multiply
    1,533.95x = 2,298.59 × 701.07
  4. Step 4: Simplify right side
    1,533.95x = 1,611,472.49
  5. Step 5: Solve for x
    x = 1,611,472.49/1,533.95
  6. Step 6: Final answer
    x = 1,050.54

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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.