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Finding the Fourth Proportional to 688, 1,030.84 and 456.60

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Solution

The fourth proportional to 688, 1,030.84 and 456.60 is: 684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    688 : 1,030.84 = 456.60 : x
  2. Step 2: Convert to fraction form
    688/1,030.84 = 456.60/x
  3. Step 3: Cross multiply
    688x = 1,030.84 × 456.60
  4. Step 4: Simplify right side
    688x = 470,681.54
  5. Step 5: Solve for x
    x = 470,681.54/688
  6. Step 6: Final answer
    x = 684.13

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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.