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Finding the Fourth Proportional to 830.94, 1,146.64 and 457.94

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Solution

The fourth proportional to 830.94, 1,146.64 and 457.94 is: 631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.94 : 1,146.64 = 457.94 : x
  2. Step 2: Convert to fraction form
    830.94/1,146.64 = 457.94/x
  3. Step 3: Cross multiply
    830.94x = 1,146.64 × 457.94
  4. Step 4: Simplify right side
    830.94x = 525,088.45
  5. Step 5: Solve for x
    x = 525,088.45/830.94
  6. Step 6: Final answer
    x = 631.92

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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.