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Finding the Fourth Proportional to 690.48, 1,030.67 and 608.47

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Solution

The fourth proportional to 690.48, 1,030.67 and 608.47 is: 908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.48 : 1,030.67 = 608.47 : x
  2. Step 2: Convert to fraction form
    690.48/1,030.67 = 608.47/x
  3. Step 3: Cross multiply
    690.48x = 1,030.67 × 608.47
  4. Step 4: Simplify right side
    690.48x = 627,131.77
  5. Step 5: Solve for x
    x = 627,131.77/690.48
  6. Step 6: Final answer
    x = 908.25

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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.