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Finding the Fourth Proportional to 1,605.04, 2,405.64 and 577.84

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Solution

The fourth proportional to 1,605.04, 2,405.64 and 577.84 is: 866.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.04 : 2,405.64 = 577.84 : x
  2. Step 2: Convert to fraction form
    1,605.04/2,405.64 = 577.84/x
  3. Step 3: Cross multiply
    1,605.04x = 2,405.64 × 577.84
  4. Step 4: Simplify right side
    1,605.04x = 1,390,075.02
  5. Step 5: Solve for x
    x = 1,390,075.02/1,605.04
  6. Step 6: Final answer
    x = 866.07

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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.