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Finding the Fourth Proportional to 970.04, 1,453.78 and 559.40

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Solution

The fourth proportional to 970.04, 1,453.78 and 559.40 is: 838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.04 : 1,453.78 = 559.40 : x
  2. Step 2: Convert to fraction form
    970.04/1,453.78 = 559.40/x
  3. Step 3: Cross multiply
    970.04x = 1,453.78 × 559.40
  4. Step 4: Simplify right side
    970.04x = 813,244.53
  5. Step 5: Solve for x
    x = 813,244.53/970.04
  6. Step 6: Final answer
    x = 838.36

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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.