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Finding the Fourth Proportional to 976.47, 1,347.51 and 534.37

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Solution

The fourth proportional to 976.47, 1,347.51 and 534.37 is: 737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.47 : 1,347.51 = 534.37 : x
  2. Step 2: Convert to fraction form
    976.47/1,347.51 = 534.37/x
  3. Step 3: Cross multiply
    976.47x = 1,347.51 × 534.37
  4. Step 4: Simplify right side
    976.47x = 720,068.92
  5. Step 5: Solve for x
    x = 720,068.92/976.47
  6. Step 6: Final answer
    x = 737.42

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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.