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Finding the Fourth Proportional to 1,130.18, 1,558.61 and 775.48

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Solution

The fourth proportional to 1,130.18, 1,558.61 and 775.48 is: 1,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.18 : 1,558.61 = 775.48 : x
  2. Step 2: Convert to fraction form
    1,130.18/1,558.61 = 775.48/x
  3. Step 3: Cross multiply
    1,130.18x = 1,558.61 × 775.48
  4. Step 4: Simplify right side
    1,130.18x = 1,208,668.20
  5. Step 5: Solve for x
    x = 1,208,668.20/1,130.18
  6. Step 6: Final answer
    x = 1,069.45

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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.