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Finding the Fourth Proportional to 992.95, 1,490.40 and 473.31

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Solution

The fourth proportional to 992.95, 1,490.40 and 473.31 is: 710.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.95 : 1,490.40 = 473.31 : x
  2. Step 2: Convert to fraction form
    992.95/1,490.40 = 473.31/x
  3. Step 3: Cross multiply
    992.95x = 1,490.40 × 473.31
  4. Step 4: Simplify right side
    992.95x = 705,423.13
  5. Step 5: Solve for x
    x = 705,423.13/992.95
  6. Step 6: Final answer
    x = 710.43

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