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Finding the Fourth Proportional to 1,612.53, 2,417.58 and 638.10

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Solution

The fourth proportional to 1,612.53, 2,417.58 and 638.10 is: 956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.53 : 2,417.58 = 638.10 : x
  2. Step 2: Convert to fraction form
    1,612.53/2,417.58 = 638.10/x
  3. Step 3: Cross multiply
    1,612.53x = 2,417.58 × 638.10
  4. Step 4: Simplify right side
    1,612.53x = 1,542,657.80
  5. Step 5: Solve for x
    x = 1,542,657.80/1,612.53
  6. Step 6: Final answer
    x = 956.67

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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.