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Finding the Fourth Proportional to 753.16, 1,036.32 and 734.08

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Solution

The fourth proportional to 753.16, 1,036.32 and 734.08 is: 1,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.16 : 1,036.32 = 734.08 : x
  2. Step 2: Convert to fraction form
    753.16/1,036.32 = 734.08/x
  3. Step 3: Cross multiply
    753.16x = 1,036.32 × 734.08
  4. Step 4: Simplify right side
    753.16x = 760,741.79
  5. Step 5: Solve for x
    x = 760,741.79/753.16
  6. Step 6: Final answer
    x = 1,010.07

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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.