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Finding the Fourth Proportional to 630.95, 941.24 and 586.76

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Solution

The fourth proportional to 630.95, 941.24 and 586.76 is: 875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.95 : 941.24 = 586.76 : x
  2. Step 2: Convert to fraction form
    630.95/941.24 = 586.76/x
  3. Step 3: Cross multiply
    630.95x = 941.24 × 586.76
  4. Step 4: Simplify right side
    630.95x = 552,278.74
  5. Step 5: Solve for x
    x = 552,278.74/630.95
  6. Step 6: Final answer
    x = 875.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.