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Finding the Fourth Proportional to 1,760.78, 2,429.80 and 974.77

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Solution

The fourth proportional to 1,760.78, 2,429.80 and 974.77 is: 1,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.78 : 2,429.80 = 974.77 : x
  2. Step 2: Convert to fraction form
    1,760.78/2,429.80 = 974.77/x
  3. Step 3: Cross multiply
    1,760.78x = 2,429.80 × 974.77
  4. Step 4: Simplify right side
    1,760.78x = 2,368,487.63
  5. Step 5: Solve for x
    x = 2,368,487.63/1,760.78
  6. Step 6: Final answer
    x = 1,345.13

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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.