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Finding the Fourth Proportional to 985.51, 1,477.15 and 437.62

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Solution

The fourth proportional to 985.51, 1,477.15 and 437.62 is: 655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.51 : 1,477.15 = 437.62 : x
  2. Step 2: Convert to fraction form
    985.51/1,477.15 = 437.62/x
  3. Step 3: Cross multiply
    985.51x = 1,477.15 × 437.62
  4. Step 4: Simplify right side
    985.51x = 646,430.38
  5. Step 5: Solve for x
    x = 646,430.38/985.51
  6. Step 6: Final answer
    x = 655.93

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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.