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Finding the Fourth Proportional to 1,533.90, 2,299.52 and 711.74

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Solution

The fourth proportional to 1,533.90, 2,299.52 and 711.74 is: 1,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.90 : 2,299.52 = 711.74 : x
  2. Step 2: Convert to fraction form
    1,533.90/2,299.52 = 711.74/x
  3. Step 3: Cross multiply
    1,533.90x = 2,299.52 × 711.74
  4. Step 4: Simplify right side
    1,533.90x = 1,636,660.36
  5. Step 5: Solve for x
    x = 1,636,660.36/1,533.90
  6. Step 6: Final answer
    x = 1,066.99

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1.5x scale

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.