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Finding the Fourth Proportional to 1,130.22, 1,559.58 and 657.96

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Solution

The fourth proportional to 1,130.22, 1,559.58 and 657.96 is: 907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.22 : 1,559.58 = 657.96 : x
  2. Step 2: Convert to fraction form
    1,130.22/1,559.58 = 657.96/x
  3. Step 3: Cross multiply
    1,130.22x = 1,559.58 × 657.96
  4. Step 4: Simplify right side
    1,130.22x = 1,026,141.26
  5. Step 5: Solve for x
    x = 1,026,141.26/1,130.22
  6. Step 6: Final answer
    x = 907.91

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Why These Related Problems?

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