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Finding the Fourth Proportional to 1,157.12, 1,734.50 and 1,000.32

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Solution

The fourth proportional to 1,157.12, 1,734.50 and 1,000.32 is: 1,499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.12 : 1,734.50 = 1,000.32 : x
  2. Step 2: Convert to fraction form
    1,157.12/1,734.50 = 1,000.32/x
  3. Step 3: Cross multiply
    1,157.12x = 1,734.50 × 1,000.32
  4. Step 4: Simplify right side
    1,157.12x = 1,735,055.04
  5. Step 5: Solve for x
    x = 1,735,055.04/1,157.12
  6. Step 6: Final answer
    x = 1,499.46

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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.