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Finding the Fourth Proportional to 1,460.79, 2,191.08 and 595.08

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Solution

The fourth proportional to 1,460.79, 2,191.08 and 595.08 is: 892.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.79 : 2,191.08 = 595.08 : x
  2. Step 2: Convert to fraction form
    1,460.79/2,191.08 = 595.08/x
  3. Step 3: Cross multiply
    1,460.79x = 2,191.08 × 595.08
  4. Step 4: Simplify right side
    1,460.79x = 1,303,867.89
  5. Step 5: Solve for x
    x = 1,303,867.89/1,460.79
  6. Step 6: Final answer
    x = 892.58

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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.