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Finding the Fourth Proportional to 710.18, 1,064.58 and 580.46

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Solution

The fourth proportional to 710.18, 1,064.58 and 580.46 is: 870.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.18 : 1,064.58 = 580.46 : x
  2. Step 2: Convert to fraction form
    710.18/1,064.58 = 580.46/x
  3. Step 3: Cross multiply
    710.18x = 1,064.58 × 580.46
  4. Step 4: Simplify right side
    710.18x = 617,946.11
  5. Step 5: Solve for x
    x = 617,946.11/710.18
  6. Step 6: Final answer
    x = 870.13

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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.