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Finding the Fourth Proportional to 1,684.35, 2,526.56 and 588.74

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Solution

The fourth proportional to 1,684.35, 2,526.56 and 588.74 is: 883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.35 : 2,526.56 = 588.74 : x
  2. Step 2: Convert to fraction form
    1,684.35/2,526.56 = 588.74/x
  3. Step 3: Cross multiply
    1,684.35x = 2,526.56 × 588.74
  4. Step 4: Simplify right side
    1,684.35x = 1,487,471.36
  5. Step 5: Solve for x
    x = 1,487,471.36/1,684.35
  6. Step 6: Final answer
    x = 883.11

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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.