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Finding the Fourth Proportional to 1,234.52, 1,852.58 and 740.55

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Solution

The fourth proportional to 1,234.52, 1,852.58 and 740.55 is: 1,111.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.52 : 1,852.58 = 740.55 : x
  2. Step 2: Convert to fraction form
    1,234.52/1,852.58 = 740.55/x
  3. Step 3: Cross multiply
    1,234.52x = 1,852.58 × 740.55
  4. Step 4: Simplify right side
    1,234.52x = 1,371,928.12
  5. Step 5: Solve for x
    x = 1,371,928.12/1,234.52
  6. Step 6: Final answer
    x = 1,111.30

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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.