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Finding the Fourth Proportional to 687.34, 948.48 and 407.56

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Solution

The fourth proportional to 687.34, 948.48 and 407.56 is: 562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.34 : 948.48 = 407.56 : x
  2. Step 2: Convert to fraction form
    687.34/948.48 = 407.56/x
  3. Step 3: Cross multiply
    687.34x = 948.48 × 407.56
  4. Step 4: Simplify right side
    687.34x = 386,557.77
  5. Step 5: Solve for x
    x = 386,557.77/687.34
  6. Step 6: Final answer
    x = 562.39

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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.