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Finding the Fourth Proportional to 1,030.02, 1,545.06 and 260.52

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Solution

The fourth proportional to 1,030.02, 1,545.06 and 260.52 is: 390.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.02 : 1,545.06 = 260.52 : x
  2. Step 2: Convert to fraction form
    1,030.02/1,545.06 = 260.52/x
  3. Step 3: Cross multiply
    1,030.02x = 1,545.06 × 260.52
  4. Step 4: Simplify right side
    1,030.02x = 402,519.03
  5. Step 5: Solve for x
    x = 402,519.03/1,030.02
  6. Step 6: Final answer
    x = 390.79

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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.