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Finding the Fourth Proportional to 1,316.37, 1,973.98 and 585.44

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Solution

The fourth proportional to 1,316.37, 1,973.98 and 585.44 is: 877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.37 : 1,973.98 = 585.44 : x
  2. Step 2: Convert to fraction form
    1,316.37/1,973.98 = 585.44/x
  3. Step 3: Cross multiply
    1,316.37x = 1,973.98 × 585.44
  4. Step 4: Simplify right side
    1,316.37x = 1,155,646.85
  5. Step 5: Solve for x
    x = 1,155,646.85/1,316.37
  6. Step 6: Final answer
    x = 877.90

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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.