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Finding the Fourth Proportional to 1,316.58, 1,973.73 and 585.60

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Solution

The fourth proportional to 1,316.58, 1,973.73 and 585.60 is: 877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.58 : 1,973.73 = 585.60 : x
  2. Step 2: Convert to fraction form
    1,316.58/1,973.73 = 585.60/x
  3. Step 3: Cross multiply
    1,316.58x = 1,973.73 × 585.60
  4. Step 4: Simplify right side
    1,316.58x = 1,155,816.29
  5. Step 5: Solve for x
    x = 1,155,816.29/1,316.58
  6. Step 6: Final answer
    x = 877.89

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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.