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Finding the Fourth Proportional to 687.01, 1,030.75 and 456.81

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Solution

The fourth proportional to 687.01, 1,030.75 and 456.81 is: 685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.01 : 1,030.75 = 456.81 : x
  2. Step 2: Convert to fraction form
    687.01/1,030.75 = 456.81/x
  3. Step 3: Cross multiply
    687.01x = 1,030.75 × 456.81
  4. Step 4: Simplify right side
    687.01x = 470,852.71
  5. Step 5: Solve for x
    x = 470,852.71/687.01
  6. Step 6: Final answer
    x = 685.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.