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Finding the Fourth Proportional to 690.60, 1,036.24 and 473.80

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Solution

The fourth proportional to 690.60, 1,036.24 and 473.80 is: 710.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.60 : 1,036.24 = 473.80 : x
  2. Step 2: Convert to fraction form
    690.60/1,036.24 = 473.80/x
  3. Step 3: Cross multiply
    690.60x = 1,036.24 × 473.80
  4. Step 4: Simplify right side
    690.60x = 490,970.51
  5. Step 5: Solve for x
    x = 490,970.51/690.60
  6. Step 6: Final answer
    x = 710.93

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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.