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Finding the Fourth Proportional to 1,030.42, 1,545.18 and 510.60

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Solution

The fourth proportional to 1,030.42, 1,545.18 and 510.60 is: 765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.42 : 1,545.18 = 510.60 : x
  2. Step 2: Convert to fraction form
    1,030.42/1,545.18 = 510.60/x
  3. Step 3: Cross multiply
    1,030.42x = 1,545.18 × 510.60
  4. Step 4: Simplify right side
    1,030.42x = 788,972.79
  5. Step 5: Solve for x
    x = 788,972.79/1,030.42
  6. Step 6: Final answer
    x = 765.68

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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.