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Finding the Fourth Proportional to 1,139.55, 1,707.30 and 977.55

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Solution

The fourth proportional to 1,139.55, 1,707.30 and 977.55 is: 1,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.55 : 1,707.30 = 977.55 : x
  2. Step 2: Convert to fraction form
    1,139.55/1,707.30 = 977.55/x
  3. Step 3: Cross multiply
    1,139.55x = 1,707.30 × 977.55
  4. Step 4: Simplify right side
    1,139.55x = 1,668,971.12
  5. Step 5: Solve for x
    x = 1,668,971.12/1,139.55
  6. Step 6: Final answer
    x = 1,464.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.