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Finding the Fourth Proportional to 924.16, 1,384.08 and 814.72

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Solution

The fourth proportional to 924.16, 1,384.08 and 814.72 is: 1,220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.16 : 1,384.08 = 814.72 : x
  2. Step 2: Convert to fraction form
    924.16/1,384.08 = 814.72/x
  3. Step 3: Cross multiply
    924.16x = 1,384.08 × 814.72
  4. Step 4: Simplify right side
    924.16x = 1,127,637.66
  5. Step 5: Solve for x
    x = 1,127,637.66/924.16
  6. Step 6: Final answer
    x = 1,220.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.