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Finding the Fourth Proportional to 970.05, 1,339.05 and 655.50

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Solution

The fourth proportional to 970.05, 1,339.05 and 655.50 is: 904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.05 : 1,339.05 = 655.50 : x
  2. Step 2: Convert to fraction form
    970.05/1,339.05 = 655.50/x
  3. Step 3: Cross multiply
    970.05x = 1,339.05 × 655.50
  4. Step 4: Simplify right side
    970.05x = 877,747.28
  5. Step 5: Solve for x
    x = 877,747.28/970.05
  6. Step 6: Final answer
    x = 904.85

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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.