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Finding the Fourth Proportional to 1,030.79, 1,544.65 and 510.77

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Solution

The fourth proportional to 1,030.79, 1,544.65 and 510.77 is: 765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.79 : 1,544.65 = 510.77 : x
  2. Step 2: Convert to fraction form
    1,030.79/1,544.65 = 510.77/x
  3. Step 3: Cross multiply
    1,030.79x = 1,544.65 × 510.77
  4. Step 4: Simplify right side
    1,030.79x = 788,960.88
  5. Step 5: Solve for x
    x = 788,960.88/1,030.79
  6. Step 6: Final answer
    x = 765.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.