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Finding the Fourth Proportional to 1,306.91, 1,803.58 and 717.49

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Solution

The fourth proportional to 1,306.91, 1,803.58 and 717.49 is: 990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.91 : 1,803.58 = 717.49 : x
  2. Step 2: Convert to fraction form
    1,306.91/1,803.58 = 717.49/x
  3. Step 3: Cross multiply
    1,306.91x = 1,803.58 × 717.49
  4. Step 4: Simplify right side
    1,306.91x = 1,294,045.21
  5. Step 5: Solve for x
    x = 1,294,045.21/1,306.91
  6. Step 6: Final answer
    x = 990.16

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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.