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Finding the Fourth Proportional to 1,685.70, 2,528.53 and 761.01

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Solution

The fourth proportional to 1,685.70, 2,528.53 and 761.01 is: 1,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.70 : 2,528.53 = 761.01 : x
  2. Step 2: Convert to fraction form
    1,685.70/2,528.53 = 761.01/x
  3. Step 3: Cross multiply
    1,685.70x = 2,528.53 × 761.01
  4. Step 4: Simplify right side
    1,685.70x = 1,924,229.86
  5. Step 5: Solve for x
    x = 1,924,229.86/1,685.70
  6. Step 6: Final answer
    x = 1,141.50

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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.