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Finding the Fourth Proportional to 1,023.38, 1,412.06 and 708.13

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Solution

The fourth proportional to 1,023.38, 1,412.06 and 708.13 is: 977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.38 : 1,412.06 = 708.13 : x
  2. Step 2: Convert to fraction form
    1,023.38/1,412.06 = 708.13/x
  3. Step 3: Cross multiply
    1,023.38x = 1,412.06 × 708.13
  4. Step 4: Simplify right side
    1,023.38x = 999,922.05
  5. Step 5: Solve for x
    x = 999,922.05/1,023.38
  6. Step 6: Final answer
    x = 977.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.