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Finding the Fourth Proportional to 1,291.61, 1,938.23 and 469.80

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Solution

The fourth proportional to 1,291.61, 1,938.23 and 469.80 is: 705.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.61 : 1,938.23 = 469.80 : x
  2. Step 2: Convert to fraction form
    1,291.61/1,938.23 = 469.80/x
  3. Step 3: Cross multiply
    1,291.61x = 1,938.23 × 469.80
  4. Step 4: Simplify right side
    1,291.61x = 910,581.63
  5. Step 5: Solve for x
    x = 910,581.63/1,291.61
  6. Step 6: Final answer
    x = 705.00

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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.