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Finding the Fourth Proportional to 1,130.31, 1,559.34 and 775.67

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Solution

The fourth proportional to 1,130.31, 1,559.34 and 775.67 is: 1,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.31 : 1,559.34 = 775.67 : x
  2. Step 2: Convert to fraction form
    1,130.31/1,559.34 = 775.67/x
  3. Step 3: Cross multiply
    1,130.31x = 1,559.34 × 775.67
  4. Step 4: Simplify right side
    1,130.31x = 1,209,525.46
  5. Step 5: Solve for x
    x = 1,209,525.46/1,130.31
  6. Step 6: Final answer
    x = 1,070.08

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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.