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Finding the Fourth Proportional to 1,130.54, 1,703.52 and 929.61

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Solution

The fourth proportional to 1,130.54, 1,703.52 and 929.61 is: 1,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.54 : 1,703.52 = 929.61 : x
  2. Step 2: Convert to fraction form
    1,130.54/1,703.52 = 929.61/x
  3. Step 3: Cross multiply
    1,130.54x = 1,703.52 × 929.61
  4. Step 4: Simplify right side
    1,130.54x = 1,583,604.58
  5. Step 5: Solve for x
    x = 1,583,604.58/1,130.54
  6. Step 6: Final answer
    x = 1,400.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.