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Finding the Fourth Proportional to 691.49, 953.76 and 470.06

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Solution

The fourth proportional to 691.49, 953.76 and 470.06 is: 648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.49 : 953.76 = 470.06 : x
  2. Step 2: Convert to fraction form
    691.49/953.76 = 470.06/x
  3. Step 3: Cross multiply
    691.49x = 953.76 × 470.06
  4. Step 4: Simplify right side
    691.49x = 448,324.43
  5. Step 5: Solve for x
    x = 448,324.43/691.49
  6. Step 6: Final answer
    x = 648.35

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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.