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Finding the Fourth Proportional to 964, 1,448.56 and 525.56

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Solution

The fourth proportional to 964, 1,448.56 and 525.56 is: 789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    964 : 1,448.56 = 525.56 : x
  2. Step 2: Convert to fraction form
    964/1,448.56 = 525.56/x
  3. Step 3: Cross multiply
    964x = 1,448.56 × 525.56
  4. Step 4: Simplify right side
    964x = 761,305.19
  5. Step 5: Solve for x
    x = 761,305.19/964
  6. Step 6: Final answer
    x = 789.74

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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.