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Finding the Fourth Proportional to 795.61, 1,097.85 and 500.77

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Solution

The fourth proportional to 795.61, 1,097.85 and 500.77 is: 691.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.61 : 1,097.85 = 500.77 : x
  2. Step 2: Convert to fraction form
    795.61/1,097.85 = 500.77/x
  3. Step 3: Cross multiply
    795.61x = 1,097.85 × 500.77
  4. Step 4: Simplify right side
    795.61x = 549,770.34
  5. Step 5: Solve for x
    x = 549,770.34/795.61
  6. Step 6: Final answer
    x = 691.00

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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.