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Finding the Fourth Proportional to 1,019.03, 1,406.48 and 646.52

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Solution

The fourth proportional to 1,019.03, 1,406.48 and 646.52 is: 892.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.03 : 1,406.48 = 646.52 : x
  2. Step 2: Convert to fraction form
    1,019.03/1,406.48 = 646.52/x
  3. Step 3: Cross multiply
    1,019.03x = 1,406.48 × 646.52
  4. Step 4: Simplify right side
    1,019.03x = 909,307.18
  5. Step 5: Solve for x
    x = 909,307.18/1,019.03
  6. Step 6: Final answer
    x = 892.33

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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.