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Finding the Fourth Proportional to 1,030.52, 1,545.78 and 970.40

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Solution

The fourth proportional to 1,030.52, 1,545.78 and 970.40 is: 1,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.52 : 1,545.78 = 970.40 : x
  2. Step 2: Convert to fraction form
    1,030.52/1,545.78 = 970.40/x
  3. Step 3: Cross multiply
    1,030.52x = 1,545.78 × 970.40
  4. Step 4: Simplify right side
    1,030.52x = 1,500,024.91
  5. Step 5: Solve for x
    x = 1,500,024.91/1,030.52
  6. Step 6: Final answer
    x = 1,455.60

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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.