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Finding the Fourth Proportional to 1,913.99, 2,870.79 and 527.27

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Solution

The fourth proportional to 1,913.99, 2,870.79 and 527.27 is: 790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.99 : 2,870.79 = 527.27 : x
  2. Step 2: Convert to fraction form
    1,913.99/2,870.79 = 527.27/x
  3. Step 3: Cross multiply
    1,913.99x = 2,870.79 × 527.27
  4. Step 4: Simplify right side
    1,913.99x = 1,513,667.09
  5. Step 5: Solve for x
    x = 1,513,667.09/1,913.99
  6. Step 6: Final answer
    x = 790.85

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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.