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Finding the Fourth Proportional to 685.84, 945.84 and 530.32

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Solution

The fourth proportional to 685.84, 945.84 and 530.32 is: 731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.84 : 945.84 = 530.32 : x
  2. Step 2: Convert to fraction form
    685.84/945.84 = 530.32/x
  3. Step 3: Cross multiply
    685.84x = 945.84 × 530.32
  4. Step 4: Simplify right side
    685.84x = 501,597.87
  5. Step 5: Solve for x
    x = 501,597.87/685.84
  6. Step 6: Final answer
    x = 731.36

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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.