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Finding the Fourth Proportional to 1,477.61, 2,215.63 and 655.53

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Solution

The fourth proportional to 1,477.61, 2,215.63 and 655.53 is: 982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.61 : 2,215.63 = 655.53 : x
  2. Step 2: Convert to fraction form
    1,477.61/2,215.63 = 655.53/x
  3. Step 3: Cross multiply
    1,477.61x = 2,215.63 × 655.53
  4. Step 4: Simplify right side
    1,477.61x = 1,452,411.93
  5. Step 5: Solve for x
    x = 1,452,411.93/1,477.61
  6. Step 6: Final answer
    x = 982.95

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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.