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Finding the Fourth Proportional to 831.01, 1,146.79 and 457.98

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Solution

The fourth proportional to 831.01, 1,146.79 and 457.98 is: 632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.01 : 1,146.79 = 457.98 : x
  2. Step 2: Convert to fraction form
    831.01/1,146.79 = 457.98/x
  3. Step 3: Cross multiply
    831.01x = 1,146.79 × 457.98
  4. Step 4: Simplify right side
    831.01x = 525,206.88
  5. Step 5: Solve for x
    x = 525,206.88/831.01
  6. Step 6: Final answer
    x = 632.01

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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.