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Finding the Fourth Proportional to 690.39, 1,030.73 and 592.92

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Solution

The fourth proportional to 690.39, 1,030.73 and 592.92 is: 885.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.39 : 1,030.73 = 592.92 : x
  2. Step 2: Convert to fraction form
    690.39/1,030.73 = 592.92/x
  3. Step 3: Cross multiply
    690.39x = 1,030.73 × 592.92
  4. Step 4: Simplify right side
    690.39x = 611,137.47
  5. Step 5: Solve for x
    x = 611,137.47/690.39
  6. Step 6: Final answer
    x = 885.21

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