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Finding the Fourth Proportional to 979.40, 1,470.14 and 590.35

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Solution

The fourth proportional to 979.40, 1,470.14 and 590.35 is: 886.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.40 : 1,470.14 = 590.35 : x
  2. Step 2: Convert to fraction form
    979.40/1,470.14 = 590.35/x
  3. Step 3: Cross multiply
    979.40x = 1,470.14 × 590.35
  4. Step 4: Simplify right side
    979.40x = 867,897.15
  5. Step 5: Solve for x
    x = 867,897.15/979.40
  6. Step 6: Final answer
    x = 886.15

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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.