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Finding the Fourth Proportional to 1,316.70, 1,975.05 and 1,230.30

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Solution

The fourth proportional to 1,316.70, 1,975.05 and 1,230.30 is: 1,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.70 : 1,975.05 = 1,230.30 : x
  2. Step 2: Convert to fraction form
    1,316.70/1,975.05 = 1,230.30/x
  3. Step 3: Cross multiply
    1,316.70x = 1,975.05 × 1,230.30
  4. Step 4: Simplify right side
    1,316.70x = 2,429,904.02
  5. Step 5: Solve for x
    x = 2,429,904.02/1,316.70
  6. Step 6: Final answer
    x = 1,845.45

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Similar ratio
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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.