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Finding the Fourth Proportional to 952.34, 1,314.89 and 730.91

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Solution

The fourth proportional to 952.34, 1,314.89 and 730.91 is: 1,009.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.34 : 1,314.89 = 730.91 : x
  2. Step 2: Convert to fraction form
    952.34/1,314.89 = 730.91/x
  3. Step 3: Cross multiply
    952.34x = 1,314.89 × 730.91
  4. Step 4: Simplify right side
    952.34x = 961,056.02
  5. Step 5: Solve for x
    x = 961,056.02/952.34
  6. Step 6: Final answer
    x = 1,009.16

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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.