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Finding the Fourth Proportional to 1,464.61, 2,020.76 and 874.93

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Solution

The fourth proportional to 1,464.61, 2,020.76 and 874.93 is: 1,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.61 : 2,020.76 = 874.93 : x
  2. Step 2: Convert to fraction form
    1,464.61/2,020.76 = 874.93/x
  3. Step 3: Cross multiply
    1,464.61x = 2,020.76 × 874.93
  4. Step 4: Simplify right side
    1,464.61x = 1,768,019.17
  5. Step 5: Solve for x
    x = 1,768,019.17/1,464.61
  6. Step 6: Final answer
    x = 1,207.16

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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.