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Finding the Fourth Proportional to 945.84, 1,305.14 and 591.68

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Solution

The fourth proportional to 945.84, 1,305.14 and 591.68 is: 816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.84 : 1,305.14 = 591.68 : x
  2. Step 2: Convert to fraction form
    945.84/1,305.14 = 591.68/x
  3. Step 3: Cross multiply
    945.84x = 1,305.14 × 591.68
  4. Step 4: Simplify right side
    945.84x = 772,225.24
  5. Step 5: Solve for x
    x = 772,225.24/945.84
  6. Step 6: Final answer
    x = 816.44

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Double scale
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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.