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Finding the Fourth Proportional to 1,461.79, 2,017.07 and 864.31

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Solution

The fourth proportional to 1,461.79, 2,017.07 and 864.31 is: 1,192.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.79 : 2,017.07 = 864.31 : x
  2. Step 2: Convert to fraction form
    1,461.79/2,017.07 = 864.31/x
  3. Step 3: Cross multiply
    1,461.79x = 2,017.07 × 864.31
  4. Step 4: Simplify right side
    1,461.79x = 1,743,373.77
  5. Step 5: Solve for x
    x = 1,743,373.77/1,461.79
  6. Step 6: Final answer
    x = 1,192.63

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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.