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Finding the Fourth Proportional to 830.04, 1,145.35 and 456.98

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Solution

The fourth proportional to 830.04, 1,145.35 and 456.98 is: 630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.04 : 1,145.35 = 456.98 : x
  2. Step 2: Convert to fraction form
    830.04/1,145.35 = 456.98/x
  3. Step 3: Cross multiply
    830.04x = 1,145.35 × 456.98
  4. Step 4: Simplify right side
    830.04x = 523,402.04
  5. Step 5: Solve for x
    x = 523,402.04/830.04
  6. Step 6: Final answer
    x = 630.57

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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.