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Finding the Fourth Proportional to 1,155.48, 1,594.60 and 631.51

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Solution

The fourth proportional to 1,155.48, 1,594.60 and 631.51 is: 871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.48 : 1,594.60 = 631.51 : x
  2. Step 2: Convert to fraction form
    1,155.48/1,594.60 = 631.51/x
  3. Step 3: Cross multiply
    1,155.48x = 1,594.60 × 631.51
  4. Step 4: Simplify right side
    1,155.48x = 1,006,994.72
  5. Step 5: Solve for x
    x = 1,006,994.72/1,155.48
  6. Step 6: Final answer
    x = 871.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.