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Finding the Fourth Proportional to 1,129.93, 1,560.02 and 710.85

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Solution

The fourth proportional to 1,129.93, 1,560.02 and 710.85 is: 981.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.93 : 1,560.02 = 710.85 : x
  2. Step 2: Convert to fraction form
    1,129.93/1,560.02 = 710.85/x
  3. Step 3: Cross multiply
    1,129.93x = 1,560.02 × 710.85
  4. Step 4: Simplify right side
    1,129.93x = 1,108,940.22
  5. Step 5: Solve for x
    x = 1,108,940.22/1,129.93
  6. Step 6: Final answer
    x = 981.42

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1.5x scale

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.