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Finding the Fourth Proportional to 1,066.58, 1,598.93 and 416.86

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Solution

The fourth proportional to 1,066.58, 1,598.93 and 416.86 is: 624.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.58 : 1,598.93 = 416.86 : x
  2. Step 2: Convert to fraction form
    1,066.58/1,598.93 = 416.86/x
  3. Step 3: Cross multiply
    1,066.58x = 1,598.93 × 416.86
  4. Step 4: Simplify right side
    1,066.58x = 666,535.00
  5. Step 5: Solve for x
    x = 666,535.00/1,066.58
  6. Step 6: Final answer
    x = 624.93

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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.