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Finding the Fourth Proportional to 1,017.07, 1,403.47 and 591.77

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Solution

The fourth proportional to 1,017.07, 1,403.47 and 591.77 is: 816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.07 : 1,403.47 = 591.77 : x
  2. Step 2: Convert to fraction form
    1,017.07/1,403.47 = 591.77/x
  3. Step 3: Cross multiply
    1,017.07x = 1,403.47 × 591.77
  4. Step 4: Simplify right side
    1,017.07x = 830,536.66
  5. Step 5: Solve for x
    x = 830,536.66/1,017.07
  6. Step 6: Final answer
    x = 816.60

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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.