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Finding the Fourth Proportional to 970.42, 1,339.98 and 900.07

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Solution

The fourth proportional to 970.42, 1,339.98 and 900.07 is: 1,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.42 : 1,339.98 = 900.07 : x
  2. Step 2: Convert to fraction form
    970.42/1,339.98 = 900.07/x
  3. Step 3: Cross multiply
    970.42x = 1,339.98 × 900.07
  4. Step 4: Simplify right side
    970.42x = 1,206,069.10
  5. Step 5: Solve for x
    x = 1,206,069.10/970.42
  6. Step 6: Final answer
    x = 1,242.84

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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.