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Finding the Fourth Proportional to 970.00, 1,453.64 and 695.95

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Solution

The fourth proportional to 970.00, 1,453.64 and 695.95 is: 1,042.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.00 : 1,453.64 = 695.95 : x
  2. Step 2: Convert to fraction form
    970.00/1,453.64 = 695.95/x
  3. Step 3: Cross multiply
    970.00x = 1,453.64 × 695.95
  4. Step 4: Simplify right side
    970.00x = 1,011,653.64
  5. Step 5: Solve for x
    x = 1,011,653.64/970.00
  6. Step 6: Final answer
    x = 1,042.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.