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Finding the Fourth Proportional to 970.99, 1,340.01 and 528.93

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Solution

The fourth proportional to 970.99, 1,340.01 and 528.93 is: 729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.99 : 1,340.01 = 528.93 : x
  2. Step 2: Convert to fraction form
    970.99/1,340.01 = 528.93/x
  3. Step 3: Cross multiply
    970.99x = 1,340.01 × 528.93
  4. Step 4: Simplify right side
    970.99x = 708,771.49
  5. Step 5: Solve for x
    x = 708,771.49/970.99
  6. Step 6: Final answer
    x = 729.95

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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.