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Finding the Fourth Proportional to 1,242.90, 1,864.08 and 462.72

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Solution

The fourth proportional to 1,242.90, 1,864.08 and 462.72 is: 693.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.90 : 1,864.08 = 462.72 : x
  2. Step 2: Convert to fraction form
    1,242.90/1,864.08 = 462.72/x
  3. Step 3: Cross multiply
    1,242.90x = 1,864.08 × 462.72
  4. Step 4: Simplify right side
    1,242.90x = 862,547.10
  5. Step 5: Solve for x
    x = 862,547.10/1,242.90
  6. Step 6: Final answer
    x = 693.98

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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.