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Finding the Fourth Proportional to 1,132.94, 1,697.76 and 644.96

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Solution

The fourth proportional to 1,132.94, 1,697.76 and 644.96 is: 966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.94 : 1,697.76 = 644.96 : x
  2. Step 2: Convert to fraction form
    1,132.94/1,697.76 = 644.96/x
  3. Step 3: Cross multiply
    1,132.94x = 1,697.76 × 644.96
  4. Step 4: Simplify right side
    1,132.94x = 1,094,987.29
  5. Step 5: Solve for x
    x = 1,094,987.29/1,132.94
  6. Step 6: Final answer
    x = 966.50

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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.