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Finding the Fourth Proportional to 993.04, 1,482.47 and 927.16

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Solution

The fourth proportional to 993.04, 1,482.47 and 927.16 is: 1,384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.04 : 1,482.47 = 927.16 : x
  2. Step 2: Convert to fraction form
    993.04/1,482.47 = 927.16/x
  3. Step 3: Cross multiply
    993.04x = 1,482.47 × 927.16
  4. Step 4: Simplify right side
    993.04x = 1,374,486.89
  5. Step 5: Solve for x
    x = 1,374,486.89/993.04
  6. Step 6: Final answer
    x = 1,384.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.