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Finding the Fourth Proportional to 1,365.55, 2,047.60 and 595.63

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Solution

The fourth proportional to 1,365.55, 2,047.60 and 595.63 is: 893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.55 : 2,047.60 = 595.63 : x
  2. Step 2: Convert to fraction form
    1,365.55/2,047.60 = 595.63/x
  3. Step 3: Cross multiply
    1,365.55x = 2,047.60 × 595.63
  4. Step 4: Simplify right side
    1,365.55x = 1,219,598.77
  5. Step 5: Solve for x
    x = 1,219,598.77/1,365.55
  6. Step 6: Final answer
    x = 893.12

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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.