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Finding the Fourth Proportional to 1,016.95, 1,403.68 and 597.32

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Solution

The fourth proportional to 1,016.95, 1,403.68 and 597.32 is: 824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.95 : 1,403.68 = 597.32 : x
  2. Step 2: Convert to fraction form
    1,016.95/1,403.68 = 597.32/x
  3. Step 3: Cross multiply
    1,016.95x = 1,403.68 × 597.32
  4. Step 4: Simplify right side
    1,016.95x = 838,445.13
  5. Step 5: Solve for x
    x = 838,445.13/1,016.95
  6. Step 6: Final answer
    x = 824.47

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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.