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Finding the Fourth Proportional to 1,074.64, 1,482.96 and 602.55

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Solution

The fourth proportional to 1,074.64, 1,482.96 and 602.55 is: 831.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.64 : 1,482.96 = 602.55 : x
  2. Step 2: Convert to fraction form
    1,074.64/1,482.96 = 602.55/x
  3. Step 3: Cross multiply
    1,074.64x = 1,482.96 × 602.55
  4. Step 4: Simplify right side
    1,074.64x = 893,557.55
  5. Step 5: Solve for x
    x = 893,557.55/1,074.64
  6. Step 6: Final answer
    x = 831.49

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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.