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Finding the Fourth Proportional to 877.35, 1,316.83 and 466.83

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Solution

The fourth proportional to 877.35, 1,316.83 and 466.83 is: 700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.35 : 1,316.83 = 466.83 : x
  2. Step 2: Convert to fraction form
    877.35/1,316.83 = 466.83/x
  3. Step 3: Cross multiply
    877.35x = 1,316.83 × 466.83
  4. Step 4: Simplify right side
    877.35x = 614,733.41
  5. Step 5: Solve for x
    x = 614,733.41/877.35
  6. Step 6: Final answer
    x = 700.67

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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.