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Finding the Fourth Proportional to 830.54, 1,146.14 and 457.55

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Solution

The fourth proportional to 830.54, 1,146.14 and 457.55 is: 631.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.54 : 1,146.14 = 457.55 : x
  2. Step 2: Convert to fraction form
    830.54/1,146.14 = 457.55/x
  3. Step 3: Cross multiply
    830.54x = 1,146.14 × 457.55
  4. Step 4: Simplify right side
    830.54x = 524,408.34
  5. Step 5: Solve for x
    x = 524,408.34/830.54
  6. Step 6: Final answer
    x = 631.41

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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.