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Finding the Fourth Proportional to 1,354.34, 1,868.21 and 815.60

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Solution

The fourth proportional to 1,354.34, 1,868.21 and 815.60 is: 1,125.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.34 : 1,868.21 = 815.60 : x
  2. Step 2: Convert to fraction form
    1,354.34/1,868.21 = 815.60/x
  3. Step 3: Cross multiply
    1,354.34x = 1,868.21 × 815.60
  4. Step 4: Simplify right side
    1,354.34x = 1,523,712.08
  5. Step 5: Solve for x
    x = 1,523,712.08/1,354.34
  6. Step 6: Final answer
    x = 1,125.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.