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Finding the Fourth Proportional to 1,590.96, 2,387.61 and 769.08

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Solution

The fourth proportional to 1,590.96, 2,387.61 and 769.08 is: 1,154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.96 : 2,387.61 = 769.08 : x
  2. Step 2: Convert to fraction form
    1,590.96/2,387.61 = 769.08/x
  3. Step 3: Cross multiply
    1,590.96x = 2,387.61 × 769.08
  4. Step 4: Simplify right side
    1,590.96x = 1,836,263.10
  5. Step 5: Solve for x
    x = 1,836,263.10/1,590.96
  6. Step 6: Final answer
    x = 1,154.19

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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.