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Finding the Fourth Proportional to 1,292.95, 1,784.24 and 703.45

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Solution

The fourth proportional to 1,292.95, 1,784.24 and 703.45 is: 970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.95 : 1,784.24 = 703.45 : x
  2. Step 2: Convert to fraction form
    1,292.95/1,784.24 = 703.45/x
  3. Step 3: Cross multiply
    1,292.95x = 1,784.24 × 703.45
  4. Step 4: Simplify right side
    1,292.95x = 1,255,120.11
  5. Step 5: Solve for x
    x = 1,255,120.11/1,292.95
  6. Step 6: Final answer
    x = 970.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.