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Finding the Fourth Proportional to 1,155.31, 1,594.31 and 707.03

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Solution

The fourth proportional to 1,155.31, 1,594.31 and 707.03 is: 975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.31 : 1,594.31 = 707.03 : x
  2. Step 2: Convert to fraction form
    1,155.31/1,594.31 = 707.03/x
  3. Step 3: Cross multiply
    1,155.31x = 1,594.31 × 707.03
  4. Step 4: Simplify right side
    1,155.31x = 1,127,221.46
  5. Step 5: Solve for x
    x = 1,127,221.46/1,155.31
  6. Step 6: Final answer
    x = 975.68

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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.