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Finding the Fourth Proportional to 832.14, 1,148.12 and 482.76

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Solution

The fourth proportional to 832.14, 1,148.12 and 482.76 is: 666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.14 : 1,148.12 = 482.76 : x
  2. Step 2: Convert to fraction form
    832.14/1,148.12 = 482.76/x
  3. Step 3: Cross multiply
    832.14x = 1,148.12 × 482.76
  4. Step 4: Simplify right side
    832.14x = 554,266.41
  5. Step 5: Solve for x
    x = 554,266.41/832.14
  6. Step 6: Final answer
    x = 666.07

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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.