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Finding the Fourth Proportional to 1,292.55, 1,783.67 and 703.05

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Solution

The fourth proportional to 1,292.55, 1,783.67 and 703.05 is: 970.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.55 : 1,783.67 = 703.05 : x
  2. Step 2: Convert to fraction form
    1,292.55/1,783.67 = 703.05/x
  3. Step 3: Cross multiply
    1,292.55x = 1,783.67 × 703.05
  4. Step 4: Simplify right side
    1,292.55x = 1,254,005.68
  5. Step 5: Solve for x
    x = 1,254,005.68/1,292.55
  6. Step 6: Final answer
    x = 970.18

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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.