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Finding the Fourth Proportional to 1,588.32, 2,382.72 and 722.64

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Solution

The fourth proportional to 1,588.32, 2,382.72 and 722.64 is: 1,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.32 : 2,382.72 = 722.64 : x
  2. Step 2: Convert to fraction form
    1,588.32/2,382.72 = 722.64/x
  3. Step 3: Cross multiply
    1,588.32x = 2,382.72 × 722.64
  4. Step 4: Simplify right side
    1,588.32x = 1,721,848.78
  5. Step 5: Solve for x
    x = 1,721,848.78/1,588.32
  6. Step 6: Final answer
    x = 1,084.07

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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.