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Finding the Fourth Proportional to 1,130.77, 1,560 and 688.60

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Solution

The fourth proportional to 1,130.77, 1,560 and 688.60 is: 949.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.77 : 1,560 = 688.60 : x
  2. Step 2: Convert to fraction form
    1,130.77/1,560 = 688.60/x
  3. Step 3: Cross multiply
    1,130.77x = 1,560 × 688.60
  4. Step 4: Simplify right side
    1,130.77x = 1,074,216
  5. Step 5: Solve for x
    x = 1,074,216/1,130.77
  6. Step 6: Final answer
    x = 949.99

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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.