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Finding the Fourth Proportional to 970.71, 1,340.53 and 830.01

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Solution

The fourth proportional to 970.71, 1,340.53 and 830.01 is: 1,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.71 : 1,340.53 = 830.01 : x
  2. Step 2: Convert to fraction form
    970.71/1,340.53 = 830.01/x
  3. Step 3: Cross multiply
    970.71x = 1,340.53 × 830.01
  4. Step 4: Simplify right side
    970.71x = 1,112,649.16
  5. Step 5: Solve for x
    x = 1,112,649.16/970.71
  6. Step 6: Final answer
    x = 1,146.23

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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.