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Finding the Fourth Proportional to 874.55, 1,312.14 and 435.76

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Solution

The fourth proportional to 874.55, 1,312.14 and 435.76 is: 653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.55 : 1,312.14 = 435.76 : x
  2. Step 2: Convert to fraction form
    874.55/1,312.14 = 435.76/x
  3. Step 3: Cross multiply
    874.55x = 1,312.14 × 435.76
  4. Step 4: Simplify right side
    874.55x = 571,778.95
  5. Step 5: Solve for x
    x = 571,778.95/874.55
  6. Step 6: Final answer
    x = 653.80

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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.