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Finding the Fourth Proportional to 1,145.55, 1,580.02 and 703.69

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Solution

The fourth proportional to 1,145.55, 1,580.02 and 703.69 is: 970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.55 : 1,580.02 = 703.69 : x
  2. Step 2: Convert to fraction form
    1,145.55/1,580.02 = 703.69/x
  3. Step 3: Cross multiply
    1,145.55x = 1,580.02 × 703.69
  4. Step 4: Simplify right side
    1,145.55x = 1,111,844.27
  5. Step 5: Solve for x
    x = 1,111,844.27/1,145.55
  6. Step 6: Final answer
    x = 970.58

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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.