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Finding the Fourth Proportional to 831.14, 1,146.99 and 458.19

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Solution

The fourth proportional to 831.14, 1,146.99 and 458.19 is: 632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.14 : 1,146.99 = 458.19 : x
  2. Step 2: Convert to fraction form
    831.14/1,146.99 = 458.19/x
  3. Step 3: Cross multiply
    831.14x = 1,146.99 × 458.19
  4. Step 4: Simplify right side
    831.14x = 525,541.07
  5. Step 5: Solve for x
    x = 525,541.07/831.14
  6. Step 6: Final answer
    x = 632.31

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Half scale
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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.