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Finding the Fourth Proportional to 830.32, 1,145.64 and 536.02

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Solution

The fourth proportional to 830.32, 1,145.64 and 536.02 is: 739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.32 : 1,145.64 = 536.02 : x
  2. Step 2: Convert to fraction form
    830.32/1,145.64 = 536.02/x
  3. Step 3: Cross multiply
    830.32x = 1,145.64 × 536.02
  4. Step 4: Simplify right side
    830.32x = 614,085.95
  5. Step 5: Solve for x
    x = 614,085.95/830.32
  6. Step 6: Final answer
    x = 739.58

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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.